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74083104 = 2532713623
BaseRepresentation
bin1000110101001…
…10101100100000
312011101210220200
410122212230200
5122431124404
611203505200
71556460504
oct432465440
9164353820
1074083104
11388aa807
1220988200
131246b174
149ba6304
156785839
hex46a6b20

74083104 has 72 divisors (see below), whose sum is σ = 213700032. Its totient is φ = 24339840.

The previous prime is 74083099. The next prime is 74083111. The reversal of 74083104 is 40138047.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18637 + ... + 22259.

It is an arithmetic number, because the mean of its divisors is an integer number (2968056).

Almost surely, 274083104 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 74083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106850016).

74083104 is an abundant number, since it is smaller than the sum of its proper divisors (139616928).

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

74083104 is a wasteful number, since it uses less digits than its factorization.

74083104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74083104 is about 8607.1542335432. The cubic root of 74083104 is about 419.9907480955.

The spelling of 74083104 in words is "seventy-four million, eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 3623 5112 6816 7246 10224 10869 14492 20448 21738 28984 32607 43476 57968 65214 86952 115936 130428 173904 257233 260856 347808 514466 521712 771699 1028932 1043424 1543398 2057864 2315097 3086796 4115728 4630194 6173592 8231456 9260388 12347184 18520776 24694368 37041552 74083104