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234334433432 = 231131349246131
BaseRepresentation
bin1101101000111101101…
…0111011000010011000
3211101212011120121202002
43122033122323002120
512314404103332212
6255352440100132
722634011551011
oct3321732730230
9741764517662
10234334433432
1190420751220
12394ba164648
131913669b688
14b4b0058008
156167884ac2
hex368f6bb098

234334433432 has 64 divisors (see below), whose sum is σ = 496202112000. Its totient is φ = 102783888000.

The previous prime is 234334433407. The next prime is 234334433447.

234334433432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829007 + ... + 1075137.

It is an arithmetic number, because the mean of its divisors is an integer number (7753158000).

Almost surely, 2234334433432 is an apocalyptic number.

234334433432 is a gapful number since it is divisible by the number (22) 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 234334433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248101056000).

234334433432 is an abundant number, since it is smaller than the sum of its proper divisors (261867678568).

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

234334433432 is a wasteful number, since it uses less digits than its factorization.

234334433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246528 (or 246524 counting only the distinct ones).

The product of its digits is 746496, while the sum is 38.

It can be divided in two parts, 234334 and 433432, that added together give a palindrome (667766).

The spelling of 234334433432 in words is "two hundred thirty-four billion, three hundred thirty-four million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 349 682 698 1364 1396 2728 2792 3839 7678 10819 15356 21638 30712 43276 86552 119009 238018 246131 476036 492262 952072 984524 1969048 2707441 5414882 7630061 10829764 15260122 21659528 30520244 61040488 83930671 85899719 167861342 171799438 335722684 343598876 671445368 687197752 944896909 1889793818 2662891289 3779587636 5325782578 7559175272 10651565156 21303130312 29291804179 58583608358 117167216716 234334433432