Search a number
-
+
257344340 = 225111169747
BaseRepresentation
bin11110101011011…
…00001101010100
3122221020110001212
433111230031110
51011340004330
641311440552
76243251021
oct1725541524
9587213055
10257344340
1112229a680
1272226158
1341414576
142626c548
15178d5295
hexf56c354

257344340 has 24 divisors (see below), whose sum is σ = 589552992. Its totient is φ = 93579680.

The previous prime is 257344337. The next prime is 257344363. The reversal of 257344340 is 43443752.

It is a super-2 number, since 2×2573443402 = 132452218660071200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257344297 and 257344306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584654 + ... + 585093.

It is an arithmetic number, because the mean of its divisors is an integer number (24564708).

Almost surely, 2257344340 is an apocalyptic number.

257344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257344340 is an abundant number, since it is smaller than the sum of its proper divisors (332208652).

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

257344340 is a wasteful number, since it uses less digits than its factorization.

257344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169767 (or 1169765 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 257344340 is about 16041.9556164453. The cubic root of 257344340 is about 636.0699427318.

The spelling of 257344340 in words is "two hundred fifty-seven million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1169747 2339494 4678988 5848735 11697470 12867217 23394940 25734434 51468868 64336085 128672170 257344340