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104455332 = 22342911117
BaseRepresentation
bin1100011100111…
…01110010100100
321021112212210000
412032131302210
5203220032312
614210501300
72405566332
oct616356244
9237485700
10104455332
1153a64923
122ab94830
13188436b7
14dc30b52
159284adc
hex639dca4

104455332 has 60 divisors (see below), whose sum is σ = 282508380. Its totient is φ = 33614784.

The previous prime is 104455319. The next prime is 104455349. The reversal of 104455332 is 233554401.

104455332 is a `hidden beast` number, since 104 + 4 + 553 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 73719396 = 5544^2 + 8586^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104455296 and 104455305.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3838 + ... + 14954.

It is an arithmetic number, because the mean of its divisors is an integer number (4708473).

Almost surely, 2104455332 is an apocalyptic number.

104455332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104455332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141254190).

104455332 is an abundant number, since it is smaller than the sum of its proper divisors (178053048).

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

104455332 is a wasteful number, since it uses less digits than its factorization.

104455332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 104455332 is about 10220.3391333165. The cubic root of 104455332 is about 470.9522447424.

The spelling of 104455332 in words is "one hundred four million, four hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 11117 22234 33351 44468 66702 100053 133404 200106 300159 322393 400212 600318 644786 900477 967179 1200636 1289572 1800954 1934358 2901537 3601908 3868716 5803074 8704611 11606148 17409222 26113833 34818444 52227666 104455332