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104414304 = 2537115319
BaseRepresentation
bin1100011100100…
…11110001100000
321021110210111110
412032103301200
5203212224204
614205543320
72405335611
oct616236140
9237423443
10104414304
1153a37015
122ab74b40
131882ab17
14dc1dc08
159277889
hex6393c60

104414304 has 48 divisors (see below), whose sum is σ = 277966080. Its totient is φ = 34312320.

The previous prime is 104414287. The next prime is 104414327. The reversal of 104414304 is 403414401.

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

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, 844 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (5790960).

Almost surely, 2104414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138983040).

104414304 is an abundant number, since it is smaller than the sum of its proper divisors (173551776).

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

104414304 is a wasteful number, since it uses less digits than its factorization.

104414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15403 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104414304 is about 10218.3317620833. The cubic root of 104414304 is about 470.8905764079.

Adding to 104414304 its reverse (403414401), we get a palindrome (507828705).

The spelling of 104414304 in words is "one hundred four million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 15319 30638 45957 61276 91914 122552 183828 245104 367656 490208 735312 1087649 1470624 2175298 3262947 4350596 6525894 8701192 13051788 17402384 26103576 34804768 52207152 104414304