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104335632 = 2432724553
BaseRepresentation
bin1100011100000…
…00100100010000
321021022210120200
412032000210100
5203202220012
614204135200
72404560342
oct616004420
9237283520
10104335632
11539929a5
122ab37500
131880107b
14dbdd292
15925e3dc
hex6380910

104335632 has 30 divisors (see below), whose sum is σ = 291995262. Its totient is φ = 34778496.

The previous prime is 104335573. The next prime is 104335633. The reversal of 104335632 is 236533401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67174416 + 37161216 = 8196^2 + 6096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104335596 and 104335605.

It is not an unprimeable number, because it can be changed into a prime (104335633) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362133 + ... + 362420.

Almost surely, 2104335632 is an apocalyptic number.

104335632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104335632 is an abundant number, since it is smaller than the sum of its proper divisors (187659630).

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

104335632 is a wasteful number, since it uses less digits than its factorization.

104335632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724567 (or 724558 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 104335632 is about 10214.4814846374. The cubic root of 104335632 is about 470.7722809570.

The spelling of 104335632 in words is "one hundred four million, three hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 724553 1449106 2173659 2898212 4347318 5796424 6520977 8694636 11592848 13041954 17389272 26083908 34778544 52167816 104335632