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423324423324 = 22321110110699901
BaseRepresentation
bin1100010100100000001…
…10100001010010011100
31111110200012120211201100
412022100012201102130
523413432023021244
6522250023313100
742404242141125
oct6122006412234
91443605524640
10423324423324
11153592667910
126a0625ab790
1330bc4999b6a
14166bbbc104c
15b02943db69
hex62901a149c

423324423324 has 144 divisors (see below), whose sum is σ = 1180129073760. Its totient is φ = 126878400000.

The previous prime is 423324423323. The next prime is 423324423359.

423324423324 is a `hidden beast` number, since 4 + 2 + 3 + 324 + 4 + 2 + 3 + 324 = 666.

423324423324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423324423323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42750774 + ... + 42760674.

It is an arithmetic number, because the mean of its divisors is an integer number (8195340790).

Almost surely, 2423324423324 is an apocalyptic number.

423324423324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423324423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590064536880).

423324423324 is an abundant number, since it is smaller than the sum of its proper divisors (756804650436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423324423324 is a wasteful number, since it uses less digits than its factorization.

423324423324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11087 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 423324 and 423324, that added together give a palindrome (846648).

The spelling of 423324423324 in words is "four hundred twenty-three billion, three hundred twenty-four million, four hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1069 1111 1212 1818 2138 2222 3207 3333 3636 4276 4444 6414 6666 9621 9901 9999 11759 12828 13332 19242 19802 19998 23518 29703 35277 38484 39604 39996 47036 59406 70554 89109 105831 107969 108911 118812 141108 178218 211662 215938 217822 323907 326733 356436 423324 431876 435644 647814 653466 971721 980199 1000001 1187659 1295628 1306932 1943442 1960398 2000002 2375318 3000003 3562977 3886884 3920796 4000004 4750636 6000006 7125954 9000009 10584169 10688931 11000011 12000012 14251908 18000018 21168338 21377862 22000022 31752507 33000033 36000036 42336676 42755724 44000044 63505014 66000066 95257521 99000099 116425859 127010028 132000132 190515042 198000198 232851718 349277577 381030084 396000396 465703436 698555154 1047832731 1069001069 1397110308 2095665462 2138002138 3207003207 4191330924 4276004276 6414006414 9621009621 11759011759 12828012828 19242019242 23518023518 35277035277 38484038484 47036047036 70554070554 105831105831 141108141108 211662211662 423324423324