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10343423232 = 28327956827
BaseRepresentation
bin10011010001000010…
…00001110100000000
3222200211222100020100
421220201001310000
5132140404020412
64430211242400
7514214434602
oct115041016400
928624870210
1010343423232
114428657a6a
122007ba9400
13c8abacc9c
147019db172
154080e7edc
hex268841d00

10343423232 has 108 divisors (see below), whose sum is σ = 30200672320. Its totient is φ = 3404104704.

The previous prime is 10343423221. The next prime is 10343423239. The reversal of 10343423232 is 23232434301.

10343423232 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 423 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10343423196 and 10343423205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343423239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153603 + ... + 210429.

Almost surely, 210343423232 is an apocalyptic number.

10343423232 is a gapful number since it is divisible by the number (12) 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 10343423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100336160).

10343423232 is an abundant number, since it is smaller than the sum of its proper divisors (19857249088).

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

10343423232 is an equidigital number, since it uses as much as digits as its factorization.

10343423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56928 (or 56911 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10343423232 its reverse (23232434301), we get a palindrome (33575857533).

The spelling of 10343423232 in words is "ten billion, three hundred forty-three million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 576 632 711 768 948 1152 1264 1422 1896 2304 2528 2844 3792 5056 5688 7584 10112 11376 15168 20224 22752 30336 45504 56827 60672 91008 113654 170481 182016 227308 340962 454616 511443 681924 909232 1022886 1363848 1818464 2045772 2727696 3636928 4091544 4489333 5455392 7273856 8183088 8978666 10910784 13467999 14547712 16366176 17957332 21821568 26935998 32732352 35914664 40403997 43643136 53871996 65464704 71829328 80807994 107743992 130929408 143658656 161615988 215487984 287317312 323231976 430975968 574634624 646463952 861951936 1149269248 1292927904 1723903872 2585855808 3447807744 5171711616 10343423232