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104348976 = 24323313049
BaseRepresentation
bin1100011100000…
…11110100110000
321021100110212220
412032003310300
5203203131401
614204321040
72404644264
oct616036460
9237313786
10104348976
11539a1a26
122ab43180
1318807174
14dc040a4
159263336
hex6383d30

104348976 has 80 divisors (see below), whose sum is σ = 290457600. Its totient is φ = 32186880.

The previous prime is 104348963. The next prime is 104348987. The reversal of 104348976 is 679843401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32700 + ... + 35748.

It is an arithmetic number, because the mean of its divisors is an integer number (3630720).

Almost surely, 2104348976 is an apocalyptic number.

104348976 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 104348976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145228800).

104348976 is an abundant number, since it is smaller than the sum of its proper divisors (186108624).

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

104348976 is a wasteful number, since it uses less digits than its factorization.

104348976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 104348976 is about 10215.1346540317. The cubic root of 104348976 is about 470.7923498999.

The spelling of 104348976 in words is "one hundred four million, three hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 2139 2852 3049 4278 5704 6098 8556 9147 11408 12196 17112 18294 24392 34224 36588 48784 70127 73176 94519 140254 146352 189038 210381 280508 283557 378076 420762 561016 567114 756152 841524 1122032 1134228 1512304 1683048 2173937 2268456 3366096 4347874 4536912 6521811 8695748 13043622 17391496 26087244 34782992 52174488 104348976