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104678352 = 2433293827
BaseRepresentation
bin1100011110101…
…00001111010000
321021222012201000
412033110033100
5203244201402
614215342000
72410515462
oct617241720
9237865630
10104678352
11540a7439
122b081900
13188c106c
14dc8c132
1592cac1c
hex63d43d0

104678352 has 80 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 34731648.

The previous prime is 104678323. The next prime is 104678389. The reversal of 104678352 is 253876401.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 126163 + ... + 126989.

It is an arithmetic number, because the mean of its divisors is an integer number (3773196).

Almost surely, 2104678352 is an apocalyptic number.

104678352 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 104678352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

104678352 is an abundant number, since it is smaller than the sum of its proper divisors (197177328).

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

104678352 is a wasteful number, since it uses less digits than its factorization.

104678352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104678352 is about 10231.2439126433. The cubic root of 104678352 is about 471.2871793213.

The spelling of 104678352 in words is "one hundred four million, six hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 293 432 586 827 879 1172 1654 1758 2344 2481 2637 3308 3516 4688 4962 5274 6616 7032 7443 7911 9924 10548 13232 14064 14886 15822 19848 21096 22329 29772 31644 39696 42192 44658 59544 63288 89316 119088 126576 178632 242311 357264 484622 726933 969244 1453866 1938488 2180799 2907732 3876976 4361598 5815464 6542397 8723196 11630928 13084794 17446392 26169588 34892784 52339176 104678352