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331827012 = 2232112174481
BaseRepresentation
bin10011110001110…
…100011101000100
3212010101120002100
4103301310131010
51134421431022
652532112100
711136324456
oct2361643504
9763346070
10331827012
11160342600
1293165630
135399255a
14320da2d6
151e1e91ac
hex13c74744

331827012 has 108 divisors (see below), whose sum is σ = 976421628. Its totient is φ = 94617600.

The previous prime is 331826993. The next prime is 331827031. The reversal of 331827012 is 210728133.

It is an interprime number because it is at equal distance from previous prime (331826993) and next prime (331827031).

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 72488196 = 16104^2 + 8514^2 .

It is a super-2 number, since 2×3318270122 = 220218331785696288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71812 + ... + 76292.

It is an arithmetic number, because the mean of its divisors is an integer number (9040941).

Almost surely, 2331827012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331827012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488210814).

331827012 is an abundant number, since it is smaller than the sum of its proper divisors (644594616).

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

331827012 is a wasteful number, since it uses less digits than its factorization.

331827012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 331827012 is about 18216.1195648250. The cubic root of 331827012 is about 692.3152722703.

The spelling of 331827012 in words is "three hundred thirty-one million, eight hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 4481 6171 6732 8228 8962 12342 13443 17924 18513 24684 26886 37026 40329 49291 53772 74052 76177 80658 98582 147873 152354 161316 197164 228531 295746 304708 443619 457062 542201 591492 685593 837947 887238 914124 1084402 1371186 1626603 1675894 1774476 2168804 2513841 2742372 3253206 3351788 4879809 5027682 6506412 7541523 9217417 9759618 10055364 15083046 18434834 19519236 27652251 30166092 36869668 55304502 82956753 110609004 165913506 331827012