Search a number
-
+
256342374 = 23359611319
BaseRepresentation
bin11110100011101…
…11100101100110
3122212100112122000
433101313211212
51011110423444
641234150130
76231605601
oct1721674546
9585315560
10256342374
11121775902
1271a22346
13411534a2
142608b338
1517788469
hexf477966

256342374 has 64 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 82559520.

The previous prime is 256342369. The next prime is 256342399. The reversal of 256342374 is 473243652.

256342374 is a `hidden beast` number, since 2 + 563 + 4 + 23 + 74 = 666.

It is a super-2 number, since 2×2563423742 = 131422825415911752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193687 + ... + 195005.

It is an arithmetic number, because the mean of its divisors is an integer number (9207000).

Almost surely, 2256342374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256342374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

256342374 is an abundant number, since it is smaller than the sum of its proper divisors (332905626).

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

256342374 is a wasteful number, since it uses less digits than its factorization.

256342374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

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

The square root of 256342374 is about 16010.6956126210. The cubic root of 256342374 is about 635.2433597156.

The spelling of 256342374 in words is "two hundred fifty-six million, three hundred forty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 59 61 118 122 177 183 354 366 531 549 1062 1098 1319 1593 1647 2638 3186 3294 3599 3957 7198 7914 10797 11871 21594 23742 32391 35613 64782 71226 77821 80459 97173 155642 160918 194346 233463 241377 466926 482754 700389 724131 1400778 1448262 2101167 2172393 4202334 4344786 4747081 9494162 14241243 28482486 42723729 85447458 128171187 256342374