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104434632 = 23321450481
BaseRepresentation
bin1100011100110…
…00101111001000
321021111211101100
412032120233020
5203213402012
614210221400
72405452101
oct616305710
9237454340
10104434632
1153a50315
122ab84860
1318837153
14dc273a8
15927d8dc
hex6398bc8

104434632 has 24 divisors (see below), whose sum is σ = 282843990. Its totient is φ = 34811520.

The previous prime is 104434613. The next prime is 104434657. The reversal of 104434632 is 236434401.

It can be written as a sum of positive squares in only one way, i.e., 72692676 + 31741956 = 8526^2 + 5634^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 104434596 and 104434605.

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 5 ways as a sum of consecutive naturals, for example, 725169 + ... + 725312.

Almost surely, 2104434632 is an apocalyptic number.

104434632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104434632 is an abundant number, since it is smaller than the sum of its proper divisors (178409358).

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

104434632 is a wasteful number, since it uses less digits than its factorization.

104434632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450493 (or 1450486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 104434632 is about 10219.3263965880. The cubic root of 104434632 is about 470.9211330211.

The spelling of 104434632 in words is "one hundred four million, four hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1450481 2900962 4351443 5801924 8702886 11603848 13054329 17405772 26108658 34811544 52217316 104434632