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74308416 = 2637134253
BaseRepresentation
bin1000110110111…
…01101101000000
312011211020222120
410123131231000
5123010332131
611212404240
71561416420
oct433355500
9164736876
1074308416
1138a44016
1220a76680
13125198a0
149c24480
1567cc496
hex46ddb40

74308416 has 112 divisors (see below), whose sum is σ = 242035584. Its totient is φ = 19593216.

The previous prime is 74308369. The next prime is 74308417. The reversal of 74308416 is 61480347.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74308417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15346 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (2161032).

Almost surely, 274308416 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 74308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121017792).

74308416 is an abundant number, since it is smaller than the sum of its proper divisors (167727168).

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

74308416 is a wasteful number, since it uses less digits than its factorization.

74308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4278 counting only the distinct ones).

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

The square root of 74308416 is about 8620.2329434882. The cubic root of 74308416 is about 420.4160955729.

The spelling of 74308416 in words is "seventy-four million, three hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4253 4368 5824 8506 8736 12759 17012 17472 25518 29771 34024 51036 55289 59542 68048 89313 102072 110578 119084 136096 165867 178626 204144 221156 238168 272192 331734 357252 387023 408288 442312 476336 663468 714504 774046 816576 884624 952672 1161069 1326936 1429008 1548092 1769248 1905344 2322138 2653872 2858016 3096184 3538496 4644276 5307744 5716032 6192368 9288552 10615488 12384736 18577104 24769472 37154208 74308416