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2404433020 = 22511671571039
BaseRepresentation
bin1000111101010000…
…1011110001111100
320012120100212000211
42033110023301330
514411013324040
61034331202204
7113404225543
oct21724136174
96176325024
102404433020
111024270130
125712a6364
132c41ab642
1418b49515a
15e114e8ea
hex8f50bc7c

2404433020 has 96 divisors (see below), whose sum is σ = 5631575040. Its totient is φ = 854979840.

The previous prime is 2404433011. The next prime is 2404433027. The reversal of 2404433020 is 203344042.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2404432982 and 2404433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404433027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313661 + ... + 2314699.

It is an arithmetic number, because the mean of its divisors is an integer number (58662240).

Almost surely, 22404433020 is an apocalyptic number.

2404433020 is a gapful number since it is divisible by the number (20) 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 2404433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815787520).

2404433020 is an abundant number, since it is smaller than the sum of its proper divisors (3227142020).

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

2404433020 is a wasteful number, since it uses less digits than its factorization.

2404433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2404433020 is about 49035.0183032494. The cubic root of 2404433020 is about 1339.6897291588.

Adding to 2404433020 its reverse (203344042), we get a palindrome (2607777062).

The spelling of 2404433020 in words is "two billion, four hundred four million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 157 220 268 314 335 628 670 737 785 1039 1340 1474 1570 1727 2078 2948 3140 3454 3685 4156 5195 6908 7370 8635 10390 10519 11429 14740 17270 20780 21038 22858 34540 42076 45716 52595 57145 69613 105190 114290 115709 139226 163123 210380 228580 231418 278452 326246 348065 462836 578545 652492 696130 765743 815615 1157090 1392260 1531486 1631230 1794353 2314180 3062972 3262460 3588706 3828715 7177412 7657430 8971765 10929241 15314860 17943530 21858482 35887060 43716964 54646205 109292410 120221651 218584820 240443302 480886604 601108255 1202216510 2404433020