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104334576 = 24317294409
BaseRepresentation
bin1100011100000…
…00010011110000
321021022202010120
412032000103300
5203202201301
614204130240
72404554303
oct616002360
9237282116
10104334576
1153992125
122ab36980
1318800748
14dbdcb3a
15925de36
hex63804f0

104334576 has 80 divisors (see below), whose sum is σ = 295293600. Its totient is φ = 31596544.

The previous prime is 104334553. The next prime is 104334577. The reversal of 104334576 is 675433401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104334577) 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, 21460 + ... + 25868.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2104334576 is an apocalyptic number.

104334576 is a gapful number since it is divisible by the number (16) 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 104334576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147646800).

104334576 is an abundant number, since it is smaller than the sum of its proper divisors (190959024).

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

104334576 is a wasteful number, since it uses less digits than its factorization.

104334576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 104334576 is about 10214.4297931896. The cubic root of 104334576 is about 470.7706926942.

Adding to 104334576 its reverse (675433401), we get a palindrome (779767977).

The spelling of 104334576 in words is "one hundred four million, three hundred thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 4409 5916 7888 8818 11832 13227 17636 23664 26454 35272 52908 70544 74953 105816 127861 149906 211632 224859 255722 299812 383583 449718 511444 599624 767166 899436 1022888 1199248 1534332 1798872 2045776 2173637 3068664 3597744 4347274 6137328 6520911 8694548 13041822 17389096 26083644 34778192 52167288 104334576