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234007378592 = 25132753204329
BaseRepresentation
bin1101100111101111101…
…1010011101010100000
3211101000101011111211212
43121323323103222200
512313221342103332
6255300154125252
722622630620241
oct3317373235240
9741011144755
10234007378592
1190273079069
1239428720828
13190b39ba2c0
14b47c840cc8
156148cce8b2
hex367bed3aa0

234007378592 has 48 divisors (see below), whose sum is σ = 496323291240. Its totient is φ = 107963645952.

The previous prime is 234007378567. The next prime is 234007378597. The reversal of 234007378592 is 295873700432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 233362421776 + 644956816 = 483076^2 + 25396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234007378592.

It is not an unprimeable number, because it can be changed into a prime (234007378597) 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, 1043084 + ... + 1247412.

Almost surely, 2234007378592 is an apocalyptic number.

It is an amenable number.

234007378592 is an abundant number, since it is smaller than the sum of its proper divisors (262315912648).

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

234007378592 is a wasteful number, since it uses less digits than its factorization.

234007378592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207105 (or 207097 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 234007378592 in words is "two hundred thirty-four billion, seven million, three hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2753 5506 11012 22024 35789 44048 71578 88096 143156 204329 286312 408658 572624 817316 1145248 1634632 2656277 3269264 5312554 6538528 10625108 21250216 42500432 85000864 562517737 1125035474 2250070948 4500141896 7312730581 9000283792 14625461162 18000567584 29250922324 58501844648 117003689296 234007378592