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257308340 = 22512865417
BaseRepresentation
bin11110101011000…
…11011010110100
3122221011121200112
433111203122310
51011332331330
641311002152
76243041042
oct1725433264
9587147615
10257308340
11122275623
1272209358
1341401073
142625d392
15178c9795
hexf5636b4

257308340 has 12 divisors (see below), whose sum is σ = 540347556. Its totient is φ = 102923328.

The previous prime is 257308313. The next prime is 257308367. The reversal of 257308340 is 43803752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257308313) and next prime (257308367).

It can be written as a sum of positive squares in 2 ways, for example, as 40806544 + 216501796 = 6388^2 + 14714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257308297 and 257308306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6432689 + ... + 6432728.

It is an arithmetic number, because the mean of its divisors is an integer number (45028963).

Almost surely, 2257308340 is an apocalyptic number.

257308340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257308340 is an abundant number, since it is smaller than the sum of its proper divisors (283039216).

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

257308340 is a wasteful number, since it uses less digits than its factorization.

257308340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865426 (or 12865424 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 257308340 is about 16040.8335194902. The cubic root of 257308340 is about 636.0402813246.

The spelling of 257308340 in words is "two hundred fifty-seven million, three hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 12865417 25730834 51461668 64327085 128654170 257308340