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256346129 = 1323534297
BaseRepresentation
bin11110100011110…
…00100000010001
3122212100201210002
433101320200101
51011111034004
641234215345
76231622544
oct1721704021
9585321702
10256346129
11121778706
1271a24555
1341155100
142608c85b
151778961e
hexf478811

256346129 has 12 divisors (see below), whose sum is σ = 278433036. Its totient is φ = 235901952.

The previous prime is 256346093. The next prime is 256346141. The reversal of 256346129 is 921643652.

It can be written as a sum of positive squares in 6 ways, for example, as 42601729 + 213744400 = 6527^2 + 14620^2 .

It is a de Polignac number, because none of the positive numbers 2k-256346129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256346092 and 256346101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256346149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57509 + ... + 61805.

It is an arithmetic number, because the mean of its divisors is an integer number (23202753).

Almost surely, 2256346129 is an apocalyptic number.

It is an amenable number.

256346129 is a deficient number, since it is larger than the sum of its proper divisors (22086907).

256346129 is a wasteful number, since it uses less digits than its factorization.

256346129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4663 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 256346129 is about 16010.8128775525. The cubic root of 256346129 is about 635.2464614621.

The spelling of 256346129 in words is "two hundred fifty-six million, three hundred forty-six thousand, one hundred twenty-nine".

Divisors: 1 13 169 353 4297 4589 55861 59657 726193 1516841 19718933 256346129