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423432144 = 24333759449
BaseRepresentation
bin11001001111010…
…000111111010000
31002111202120201000
4121033100333100
51331344312034
6110003342000
713331054022
oct3117207720
91074676630
10423432144
111a801a923
12b9981900
1369956c85
1440344012
1527291599
hex193d0fd0

423432144 has 160 divisors (see below), whose sum is σ = 1272240000. Its totient is φ = 134701056.

The previous prime is 423432091. The next prime is 423432151. The reversal of 423432144 is 441234324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942832 + ... + 943280.

It is an arithmetic number, because the mean of its divisors is an integer number (7951500).

Almost surely, 2423432144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120000).

423432144 is an abundant number, since it is smaller than the sum of its proper divisors (848807856).

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

423432144 is a wasteful number, since it uses less digits than its factorization.

423432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 423432144 is about 20577.4668994996. The cubic root of 423432144 is about 750.9216190273.

Adding to 423432144 its reverse (441234324), we get a palindrome (864666468).

The spelling of 423432144 in words is "four hundred twenty-three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 59 72 74 108 111 118 144 148 177 216 222 236 296 333 354 432 444 449 472 531 592 666 708 888 898 944 999 1062 1332 1347 1416 1593 1776 1796 1998 2124 2183 2664 2694 2832 3186 3592 3996 4041 4248 4366 5328 5388 6372 6549 7184 7992 8082 8496 8732 10776 12123 12744 13098 15984 16164 16613 17464 19647 21552 24246 25488 26196 26491 32328 33226 34928 39294 48492 49839 52392 52982 58941 64656 66452 78588 79473 96984 99678 104784 105964 117882 132904 149517 157176 158946 193968 199356 211928 235764 238419 265808 299034 314352 317892 398712 423856 448551 471528 476838 598068 635784 715257 797424 897102 943056 953676 980167 1196136 1271568 1430514 1794204 1907352 1960334 2392272 2861028 2940501 3588408 3814704 3920668 5722056 5881002 7176816 7841336 8821503 11444112 11762004 15682672 17643006 23524008 26464509 35286012 47048016 52929018 70572024 105858036 141144048 211716072 423432144