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74268684 = 22337313169
BaseRepresentation
bin1000110110101…
…00000000001100
312011202020111000
410123110000030
5123003044214
611211500300
71561162530
oct433240014
9164666430
1074268684
1138a17186
1220a57690
1312504789
149c13bc0
1567c0809
hex46d400c

74268684 has 96 divisors (see below), whose sum is σ = 227225600. Its totient is φ = 20528640.

The previous prime is 74268683. The next prime is 74268707. The reversal of 74268684 is 48686247.

It is not an unprimeable number, because it can be changed into a prime (74268683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21852 + ... + 25020.

Almost surely, 274268684 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 74268684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113612800).

74268684 is an abundant number, since it is smaller than the sum of its proper divisors (152956916).

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

74268684 is a wasteful number, since it uses less digits than its factorization.

74268684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3212 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 74268684 is about 8617.9280572537. The cubic root of 74268684 is about 420.3411513910.

It can be divided in two parts, 7426 and 8684, that added together give a triangular number (16110 = T179).

The spelling of 74268684 in words is "seventy-four million, two hundred sixty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3169 3348 3906 5859 6338 7812 9507 11718 12676 19014 22183 23436 28521 38028 44366 57042 66549 85563 88732 98239 114084 133098 171126 196478 199647 266196 294717 342252 392956 399294 589434 598941 687673 798588 884151 1178868 1197882 1375346 1768302 2063019 2395764 2652453 2750692 3536604 4126038 5304906 6189057 8252076 10609812 12378114 18567171 24756228 37134342 74268684