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331970256 = 24324015749
BaseRepresentation
bin10011110010010…
…111011011010000
3212010122211120200
4103302113123100
51134441022011
652535135200
711140462212
oct2362273320
9763584520
10331970256
11160430192
1293214500
1353a12807
14321365b2
151e226856
hex13c976d0

331970256 has 60 divisors (see below), whose sum is σ = 931534500. Its totient is φ = 110361600.

The previous prime is 331970251. The next prime is 331970257. The reversal of 331970256 is 652079133.

331970256 is a `hidden beast` number, since 331 + 9 + 70 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171086400 + 160883856 = 13080^2 + 12684^2 .

It is a super-2 number, since 2×3319702562 = 220408501737411072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 331970256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331970251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54870 + ... + 60618.

It is an arithmetic number, because the mean of its divisors is an integer number (15525575).

Almost surely, 2331970256 is an apocalyptic number.

331970256 is a gapful number since it is divisible by the number (36) 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 331970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465767250).

331970256 is an abundant number, since it is smaller than the sum of its proper divisors (599564244).

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

331970256 is a wasteful number, since it uses less digits than its factorization.

331970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 331970256 is about 18220.0509329694. The cubic root of 331970256 is about 692.4148781279.

The spelling of 331970256 in words is "three hundred thirty-one million, nine hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 5749 6416 7218 9624 11498 14436 17247 19248 22996 28872 34494 45992 51741 57744 68988 91984 103482 137976 206964 275952 413928 827856 2305349 4610698 6916047 9221396 13832094 18442792 20748141 27664188 36885584 41496282 55328376 82992564 110656752 165985128 331970256