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104357376 = 29337549
BaseRepresentation
bin1100011100001…
…01111000000000
321021100220102000
412032011320000
5203203414001
614204424000
72405010624
oct616057000
9237326360
10104357376
11539a8272
122ab48000
131880ac36
14dc07184
159265a86
hex6385e00

104357376 has 80 divisors (see below), whose sum is σ = 308946000. Its totient is φ = 34781184.

The previous prime is 104357359. The next prime is 104357387. The reversal of 104357376 is 673753401.

104357376 is a `hidden beast` number, since 10 + 4 + 3 + 573 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104357376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10050 + ... + 17598.

It is an arithmetic number, because the mean of its divisors is an integer number (3861825).

Almost surely, 2104357376 is an apocalyptic number.

104357376 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 104357376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154473000).

104357376 is an abundant number, since it is smaller than the sum of its proper divisors (204588624).

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

104357376 is an frugal number, since it uses more digits than its factorization.

104357376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 104357376 is about 10215.5458003966. The cubic root of 104357376 is about 470.8049823498.

The spelling of 104357376 in words is "one hundred four million, three hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 7549 13824 15098 22647 30196 45294 60392 67941 90588 120784 135882 181176 203823 241568 271764 362352 407646 483136 543528 724704 815292 966272 1087056 1449408 1630584 1932544 2174112 2898816 3261168 3865088 4348224 5797632 6522336 8696448 11595264 13044672 17392896 26089344 34785792 52178688 104357376