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104738634 = 232711135813
BaseRepresentation
bin1100011111000…
…10111101001010
321022002021101200
412033202331022
5203303114014
614220525030
72411156310
oct617427512
9238067350
10104738634
1154138760
122b0b0776
1318912630
14dca60b0
1592dda09
hex63e2f4a

104738634 has 96 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 25107840.

The previous prime is 104738597. The next prime is 104738651. The reversal of 104738634 is 436837401.

104738634 is a `hidden beast` number, since 10 + 4 + 7 + 3 + 8 + 634 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15112 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2104738634 is an apocalyptic number.

104738634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104738634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

104738634 is an abundant number, since it is smaller than the sum of its proper divisors (200007990).

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

104738634 is a wasteful number, since it uses less digits than its factorization.

104738634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 104738634 is about 10234.1894647305. The cubic root of 104738634 is about 471.3776299934.

The spelling of 104738634 in words is "one hundred four million, seven hundred thirty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 5813 6006 9009 11626 17439 18018 34878 40691 52317 63943 75569 81382 104634 122073 127886 151138 191829 226707 244146 366219 383658 447601 453414 528983 575487 680121 732438 831259 895202 1057966 1150974 1342803 1360242 1586949 1662518 2493777 2685606 3173898 4028409 4760847 4987554 5818813 7481331 8056818 9521694 11637626 14962662 17456439 34912878 52369317 104738634