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256253304 = 233192353461
BaseRepresentation
bin11110100011000…
…01110101111000
3122212012000110010
433101201311320
51011100101204
641232221520
76231055116
oct1721416570
9585160403
10256253304
1112171499a
127199a8a0
1341121a98
1426066ab6
151776bd89
hexf461d78

256253304 has 128 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 75778560.

The previous prime is 256253293. The next prime is 256253351. The reversal of 256253304 is 403352652.

It is a congruent number.

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, 555634 + ... + 556094.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2256253304 is an apocalyptic number.

256253304 is a gapful number since it is divisible by the number (24) 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 256253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

256253304 is an abundant number, since it is smaller than the sum of its proper divisors (462249096).

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

256253304 is a wasteful number, since it uses less digits than its factorization.

256253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 256253304 is about 16007.9137928713. The cubic root of 256253304 is about 635.1697762502.

The spelling of 256253304 in words is "two hundred fifty-six million, two hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 53 57 69 76 92 106 114 138 152 159 184 212 228 276 318 424 437 456 461 552 636 874 922 1007 1219 1272 1311 1383 1748 1844 2014 2438 2622 2766 3021 3496 3657 3688 4028 4876 5244 5532 6042 7314 8056 8759 9752 10488 10603 11064 12084 14628 17518 21206 23161 24168 24433 26277 29256 31809 35036 42412 46322 48866 52554 63618 69483 70072 73299 84824 92644 97732 105108 127236 138966 146598 185288 195464 201457 210216 254472 277932 293196 402914 464227 555864 561959 586392 604371 805828 928454 1123918 1208742 1392681 1611656 1685877 1856908 2247836 2417484 2785362 3371754 3713816 4495672 4834968 5570724 6743508 10677221 11141448 13487016 21354442 32031663 42708884 64063326 85417768 128126652 256253304