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257680344 = 23310736681
BaseRepresentation
bin11110101101111…
…10001111011000
3122221212111222110
433112332033120
51011431232334
641322552320
76246150435
oct1726761730
9587774873
10257680344
111224aa069
12723686a0
134150149c
1426318b8c
151794eae9
hexf5be3d8

257680344 has 16 divisors (see below), whose sum is σ = 644200920. Its totient is φ = 85893440.

The previous prime is 257680331. The next prime is 257680349. The reversal of 257680344 is 443086752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257680349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5368317 + ... + 5368364.

Almost surely, 2257680344 is an apocalyptic number.

257680344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257680344 is an abundant number, since it is smaller than the sum of its proper divisors (386520576).

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

257680344 is a wasteful number, since it uses less digits than its factorization.

257680344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736690 (or 10736686 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 257680344 is about 16052.4248635525. The cubic root of 257680344 is about 636.3466525238.

The spelling of 257680344 in words is "two hundred fifty-seven million, six hundred eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 10736681 21473362 32210043 42946724 64420086 85893448 128840172 257680344