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104077344 = 2537154877
BaseRepresentation
bin1100011010000…
…01100000100000
321020211200021110
412031001200200
5203120433334
614154423320
72402433330
oct615014040
9236750243
10104077344
1153826938
122aa31b40
1318740637
14db730c0
15920cae9
hex6341820

104077344 has 48 divisors (see below), whose sum is σ = 312234048. Its totient is φ = 29736192.

The previous prime is 104077333. The next prime is 104077367. The reversal of 104077344 is 443770401.

It is a tau number, because it is divible by the number of its divisors (48).

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, 76767 + ... + 78110.

It is an arithmetic number, because the mean of its divisors is an integer number (6504876).

Almost surely, 2104077344 is an apocalyptic number.

104077344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104077344 is an abundant number, since it is smaller than the sum of its proper divisors (208156704).

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

104077344 is a wasteful number, since it uses less digits than its factorization.

104077344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154897 (or 154889 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 104077344 is about 10201.8304239975. The cubic root of 104077344 is about 470.3834866247.

The spelling of 104077344 in words is "one hundred four million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 154877 309754 464631 619508 929262 1084139 1239016 1858524 2168278 2478032 3252417 3717048 4336556 4956064 6504834 7434096 8673112 13009668 14868192 17346224 26019336 34692448 52038672 104077344