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103984464 = 24314511493
BaseRepresentation
bin1100011001010…
…10110101010000
321020122221212110
412030222311100
5203110000324
614152425320
72401565463
oct614526520
9236587773
10103984464
1153773081
122a9a8240
131870a28c
14db4b2da
1591e0329
hex632ad50

103984464 has 40 divisors (see below), whose sum is σ = 268991712. Its totient is φ = 34614400.

The previous prime is 103984457. The next prime is 103984477. The reversal of 103984464 is 464489301.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68902 + ... + 70394.

Almost surely, 2103984464 is an apocalyptic number.

It is an amenable number.

103984464 is an abundant number, since it is smaller than the sum of its proper divisors (165007248).

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

103984464 is a wasteful number, since it uses less digits than its factorization.

103984464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 103984464 is about 10197.2772836674. The cubic root of 103984464 is about 470.2435194961.

The spelling of 103984464 in words is "one hundred three million, nine hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1451 1493 2902 2986 4353 4479 5804 5972 8706 8958 11608 11944 17412 17916 23216 23888 34824 35832 69648 71664 2166343 4332686 6499029 8665372 12998058 17330744 25996116 34661488 51992232 103984464