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993931704 = 233226352489
BaseRepresentation
bin111011001111100…
…011000110111000
32120021020221222100
4323033203012320
54013421303304
6242343223400
733426165033
oct7317430670
92507227870
10993931704
11470059667
12238a47b60
1312abc408c
149600c01a
155c3d3439
hex3b3e31b8

993931704 has 48 divisors (see below), whose sum is σ = 2702185200. Its totient is φ = 330044544.

The previous prime is 993931699. The next prime is 993931709. The reversal of 993931704 is 407139399.

993931704 is a `hidden beast` number, since 99 + 393 + 170 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (993931699) and next prime (993931709).

It is a self number, because there is not a number n which added to its sum of digits gives 993931704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993931709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7309 + ... + 45180.

It is an arithmetic number, because the mean of its divisors is an integer number (56295525).

Almost surely, 2993931704 is an apocalyptic number.

It is an amenable number.

993931704 is an abundant number, since it is smaller than the sum of its proper divisors (1708253496).

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

993931704 is a wasteful number, since it uses less digits than its factorization.

993931704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52764 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 993931704 is about 31526.6824134732. The cubic root of 993931704 is about 997.9731292372.

The spelling of 993931704 in words is "nine hundred ninety-three million, nine hundred thirty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 1052 1578 2104 2367 3156 4734 6312 9468 18936 52489 104978 157467 209956 314934 419912 472401 629868 944802 1259736 1889604 3779208 13804607 27609214 41413821 55218428 82827642 110436856 124241463 165655284 248482926 331310568 496965852 993931704