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257423346 = 23410115733
BaseRepresentation
bin11110101011111…
…11011111110010
3122221101110110000
433111333133302
51011400021341
641313250430
76244030245
oct1725773762
9587343400
10257423346
11122343a74
1272263a16
134144150b
142628d25c
15178ed8b6
hexf57f7f2

257423346 has 40 divisors (see below), whose sum is σ = 582567084. Its totient is φ = 84952800.

The previous prime is 257423329. The next prime is 257423347. The reversal of 257423346 is 643324752.

It can be written as a sum of positive squares in 2 ways, for example, as 256352121 + 1071225 = 16011^2 + 1035^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257423346.

It is not an unprimeable number, because it can be changed into a prime (257423347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8496 + ... + 24228.

Almost surely, 2257423346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257423346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291283542).

257423346 is an abundant number, since it is smaller than the sum of its proper divisors (325143738).

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

257423346 is a wasteful number, since it uses less digits than its factorization.

257423346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15848 (or 15839 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 257423346 is about 16044.4179077958. The cubic root of 257423346 is about 636.1350282901.

The spelling of 257423346 in words is "two hundred fifty-seven million, four hundred twenty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 15733 16362 31466 47199 94398 141597 283194 424791 849582 1274373 1589033 2548746 3178066 4767099 9534198 14301297 28602594 42903891 85807782 128711673 257423346