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3281148936 = 2332133505501
BaseRepresentation
bin1100001110010010…
…0101110000001000
322110200001122011200
43003210211300020
523204433231221
61301330224200
7144211206612
oct30344456010
98420048150
103281148936
11143413983a
12776a25060
13403a11b60
14231aaddb2
151430cc426
hexc3925c08

3281148936 has 48 divisors (see below), whose sum is σ = 9570020460. Its totient is φ = 1009584000.

The previous prime is 3281148907. The next prime is 3281148953. The reversal of 3281148936 is 6398411823.

It can be written as a sum of positive squares in 2 ways, for example, as 3248316036 + 32832900 = 56994^2 + 5730^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3281148891 and 3281148900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1751815 + ... + 1753686.

Almost surely, 23281148936 is an apocalyptic number.

3281148936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3281148936 is an abundant number, since it is smaller than the sum of its proper divisors (6288871524).

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

3281148936 is a wasteful number, since it uses less digits than its factorization.

3281148936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505526 (or 3505519 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3281148936 is about 57281.3140212408. The cubic root of 3281148936 is about 1485.9652317414.

The spelling of 3281148936 in words is "three billion, two hundred eighty-one million, one hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3505501 7011002 10516503 14022004 21033006 28044008 31549509 42066012 45571513 63099018 84132024 91143026 126198036 136714539 182286052 252396072 273429078 364572104 410143617 546858156 820287234 1093716312 1640574468 3281148936