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256078340 = 225711316187
BaseRepresentation
bin11110100001101…
…11001000000100
3122211212010102222
433100313020010
51011024001330
641224351512
76226426040
oct1720671004
9584763388
10256078340
111216054a1
1271915598
134109025b
142601d020
15177350e5
hexf437204

256078340 has 48 divisors (see below), whose sum is σ = 620065152. Its totient is φ = 87015936.

The previous prime is 256078337. The next prime is 256078363. The reversal of 256078340 is 43870652.

It is a happy number.

It is a super-2 number, since 2×2560783402 = 131152232434311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 256078340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7727 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (12918024).

Almost surely, 2256078340 is an apocalyptic number.

256078340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256078340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310032576).

256078340 is an abundant number, since it is smaller than the sum of its proper divisors (363986812).

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

256078340 is a wasteful number, since it uses less digits than its factorization.

256078340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 256078340 is about 16002.4479377375. The cubic root of 256078340 is about 635.0251834516.

The spelling of 256078340 in words is "two hundred fifty-six million, seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2260 3164 3955 7910 15820 16187 32374 64748 80935 113309 161870 226618 323740 453236 566545 1133090 1829131 2266180 3658262 7316524 9145655 12803917 18291310 25607834 36582620 51215668 64019585 128039170 256078340