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234313313432 = 23114361922123
BaseRepresentation
bin1101101000111000101…
…0010110110010011000
3211101210200211121112212
43122032022112302120
512314333202012212
6255350403254252
722633334205452
oct3321612266230
9741720747485
10234313313432
119040a836480
12394b307a388
13191321b5533
14b4ab31b2d2
156165ab1e22
hex368e296c98

234313313432 has 32 divisors (see below), whose sum is σ = 490423222080. Its totient is φ = 104029164960.

The previous prime is 234313313431. The next prime is 234313313447.

234313313432 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234313313431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30957278 + ... + 30964845.

It is an arithmetic number, because the mean of its divisors is an integer number (15325725690).

Almost surely, 2234313313432 is an apocalyptic number.

234313313432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234313313432 is an abundant number, since it is smaller than the sum of its proper divisors (256109908648).

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

234313313432 is a wasteful number, since it uses less digits than its factorization.

234313313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61922183 (or 61922179 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 234313 and 313432, that added together give a palindrome (547745).

The spelling of 234313313432 in words is "two hundred thirty-four billion, three hundred thirteen million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 61922123 123844246 247688492 495376984 681143353 1362286706 2662651289 2724573412 5325302578 5449146824 10650605156 21301210312 29289164179 58578328358 117156656716 234313313432