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234314331400 = 23521171571657
BaseRepresentation
bin1101101000111000111…
…0001111010100001000
3211101210202202022221101
43122032032033110020
512314333432101100
6255350441151144
722633345645342
oct3321616172410
9741722668841
10234314331400
1190410371276
12394b348b4b4
1319132480996
14b4ab504292
156165c1386a
hex368e38f508

234314331400 has 24 divisors (see below), whose sum is σ = 544780820970. Its totient is φ = 93725732480.

The previous prime is 234314331397. The next prime is 234314331479. The reversal of 234314331400 is 4133413432.

It can be written as a sum of positive squares in 3 ways, for example, as 118973945476 + 115340385924 = 344926^2 + 339618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585785629 + ... + 585786028.

Almost surely, 2234314331400 is an apocalyptic number.

234314331400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234314331400 is an abundant number, since it is smaller than the sum of its proper divisors (310466489570).

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

234314331400 is a wasteful number, since it uses less digits than its factorization.

234314331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171571673 (or 1171571664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 234314331400 its reverse (4133413432), we get a palindrome (238447744832).

The spelling of 234314331400 in words is "two hundred thirty-four billion, three hundred fourteen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1171571657 2343143314 4686286628 5857858285 9372573256 11715716570 23431433140 29289291425 46862866280 58578582850 117157165700 234314331400