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74368084 = 2272592109
BaseRepresentation
bin1000110111011…
…00010001010100
312011221021211111
410123230101110
5123014234314
611213544404
71562055400
oct433542124
9164837744
1074368084
1138a8492a
1220aa5104
131253aaab
149c3c100
1567deec4
hex46ec454

74368084 has 54 divisors (see below), whose sum is σ = 155414490. Its totient is φ = 31044384.

The previous prime is 74368079. The next prime is 74368097. The reversal of 74368084 is 48086347.

It can be written as a sum of positive squares in only one way, i.e., 68227600 + 6140484 = 8260^2 + 2478^2 .

It is a super-2 number, since 2×743680842 = 11061223835662112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 682222 + ... + 682330.

Almost surely, 274368084 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 74368084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77707245).

74368084 is an abundant number, since it is smaller than the sum of its proper divisors (81046406).

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

74368084 is a wasteful number, since it uses less digits than its factorization.

74368084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 74368084 is about 8623.6931763601. The cubic root of 74368084 is about 420.5285937151.

The spelling of 74368084 in words is "seventy-four million, three hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 59 98 109 118 196 218 236 413 436 763 826 1526 1652 2891 3052 3481 5341 5782 6431 6962 10682 11564 12862 13924 21364 24367 25724 45017 48734 90034 97468 170569 180068 315119 341138 379429 630238 682276 758858 1260476 1517716 2656003 5312006 10624012 18592021 37184042 74368084