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256334442 = 237133171481
BaseRepresentation
bin11110100011101…
…01101001101010
3122212100010202020
433101311221222
51011110200232
641234045310
76231543510
oct1721655152
9585303666
10256334442
1112176a951
1271a19836
134114c9b0
14260884b0
1517785e2c
hexf475a6a

256334442 has 64 divisors (see below), whose sum is σ = 633394944. Its totient is φ = 67345920.

The previous prime is 256334423. The next prime is 256334467. The reversal of 256334442 is 244433652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172342 + ... + 173822.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 2256334442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256334442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316697472).

256334442 is an abundant number, since it is smaller than the sum of its proper divisors (377060502).

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

256334442 is a wasteful number, since it uses less digits than its factorization.

256334442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823.

The product of its digits is 69120, while the sum is 33.

The square root of 256334442 is about 16010.4479012925. The cubic root of 256334442 is about 635.2368075380.

The spelling of 256334442 in words is "two hundred fifty-six million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 317 546 634 951 1481 1902 2219 2962 4121 4438 4443 6657 8242 8886 10367 12363 13314 19253 20734 24726 28847 31101 38506 57694 57759 62202 86541 115518 134771 173082 269542 404313 469477 808626 938954 1408431 2816862 3286339 6103201 6572678 9859017 12206402 18309603 19718034 36619206 42722407 85444814 128167221 256334442