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104064312 = 23311401983
BaseRepresentation
bin1100011001111…
…10010100111000
321020211000101210
412030332110320
5203120024222
614154243120
72402350332
oct614762470
9236730353
10104064312
1153818070
122aa264a0
1318737721
14db6c452
159208d0c
hex633e538

104064312 has 64 divisors (see below), whose sum is σ = 284808960. Its totient is φ = 31424000.

The previous prime is 104064307. The next prime is 104064319. The reversal of 104064312 is 213460401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104064319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105373 + ... + 106355.

It is an arithmetic number, because the mean of its divisors is an integer number (4450140).

Almost surely, 2104064312 is an apocalyptic number.

104064312 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 104064312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142404480).

104064312 is an abundant number, since it is smaller than the sum of its proper divisors (180744648).

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

104064312 is a wasteful number, since it uses less digits than its factorization.

104064312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104064312 is about 10201.1916950913. The cubic root of 104064312 is about 470.3638528497.

The spelling of 104064312 in words is "one hundred four million, sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401 802 983 1203 1604 1966 2406 2949 3208 3932 4411 4812 5898 7864 8822 9624 10813 11796 13233 17644 21626 23592 26466 32439 35288 43252 52932 64878 86504 105864 129756 259512 394183 788366 1182549 1576732 2365098 3153464 4336013 4730196 8672026 9460392 13008039 17344052 26016078 34688104 52032156 104064312