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3132688644 = 22321493371733
BaseRepresentation
bin1011101010111001…
…0000100100000100
322002022201001221100
42322232100210010
522403432014034
61234504220100
7140426262021
oct27256204404
98068631840
103132688644
111368359388
1273516a630
133ac031a27
1421a0a6548
15135054099
hexbab90904

3132688644 has 72 divisors (see below), whose sum is σ = 8000155800. Its totient is φ = 1033546752.

The previous prime is 3132688609. The next prime is 3132688679. The reversal of 3132688644 is 4468862313.

It is an interprime number because it is at equal distance from previous prime (3132688609) and next prime (3132688679).

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 3130402500 = 1512^2 + 55950^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3132688644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1806802 + ... + 1808534.

It is an arithmetic number, because the mean of its divisors is an integer number (111113275).

Almost surely, 23132688644 is an apocalyptic number.

It is an amenable number.

3132688644 is an abundant number, since it is smaller than the sum of its proper divisors (4867467156).

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

3132688644 is a wasteful number, since it uses less digits than its factorization.

3132688644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2224 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3132688644 is about 55970.4265125789. The cubic root of 3132688644 is about 1463.2069127777.

The spelling of 3132688644 in words is "three billion, one hundred thirty-two million, six hundred eighty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 337 447 596 674 894 1011 1341 1348 1733 1788 2022 2682 3033 3466 4044 5199 5364 6066 6932 10398 12132 15597 20796 31194 50213 62388 100426 150639 200852 258217 301278 451917 516434 584021 602556 774651 903834 1032868 1168042 1549302 1752063 1807668 2323953 2336084 3098604 3504126 4647906 5256189 7008252 9295812 10512378 21024756 87019129 174038258 261057387 348076516 522114774 783172161 1044229548 1566344322 3132688644