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234435534432 = 25311222003347
BaseRepresentation
bin1101101001010101110…
…0100101111001100000
3211102010012211002020120
43122111130211321200
512320110444100212
6255410451040240
722636350110061
oct3322534457140
9742105732216
10234435534432
1190472824970
1239527ba0080
1319151609358
14b4bd654568
1561716a588c
hex3695725e60

234435534432 has 48 divisors (see below), whose sum is σ = 671338124352. Its totient is φ = 71041070720.

The previous prime is 234435534427. The next prime is 234435534451.

234435534432 is nontrivially palindromic in base 10.

234435534432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111000618 + ... + 111002729.

It is an arithmetic number, because the mean of its divisors is an integer number (13986210924).

Almost surely, 2234435534432 is an apocalyptic number.

234435534432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234435534432 is an abundant number, since it is smaller than the sum of its proper divisors (436902589920).

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

234435534432 is a wasteful number, since it uses less digits than its factorization.

234435534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222003371 (or 222003363 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 234435 and 534432, that added together give a palindrome (768867).

The spelling of 234435534432 in words is "two hundred thirty-four billion, four hundred thirty-five million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 222003347 444006694 666010041 888013388 1332020082 1776026776 2442036817 2664040164 3552053552 4884073634 5328080328 7104107104 7326110451 9768147268 10656160656 14652220902 19536294536 21312321312 29304441804 39072589072 58608883608 78145178144 117217767216 234435534432