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74083416 = 23311172971
BaseRepresentation
bin1000110101001…
…10110001011000
312011101211100020
410122212301120
5122431132131
611203510440
71556461431
oct432466130
9164354306
1074083416
11388aaa70
1220988420
131246b354
149ba6488
156785996
hex46a6c58

74083416 has 96 divisors (see below), whose sum is σ = 214850880. Its totient is φ = 21107200.

The previous prime is 74083411. The next prime is 74083417. The reversal of 74083416 is 61438047.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74083411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75811 + ... + 76781.

It is an arithmetic number, because the mean of its divisors is an integer number (2238030).

Almost surely, 274083416 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 74083416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107425440).

74083416 is an abundant number, since it is smaller than the sum of its proper divisors (140767464).

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

74083416 is a wasteful number, since it uses less digits than its factorization.

74083416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 74083416 is about 8607.1723579815. The cubic root of 74083416 is about 419.9913376898.

The spelling of 74083416 in words is "seventy-four million, eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 289 374 408 561 578 748 867 971 1122 1156 1496 1734 1942 2244 2312 2913 3179 3468 3884 4488 5826 6358 6936 7768 9537 10681 11652 12716 16507 19074 21362 23304 25432 32043 33014 38148 42724 49521 64086 66028 76296 85448 99042 128172 132056 181577 198084 256344 280619 363154 396168 544731 561238 726308 841857 1089462 1122476 1452616 1683714 2178924 2244952 3086809 3367428 4357848 6173618 6734856 9260427 12347236 18520854 24694472 37041708 74083416