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74534016 = 273672897
BaseRepresentation
bin1000111000101…
…00110010000000
312012020201110010
410130110302000
5123040042031
611221304520
71563346224
oct434246200
9165221403
1074534016
1139088567
1220b65140
131259848b
149c82784
156824246
hex4714c80

74534016 has 64 divisors (see below), whose sum is σ = 201005280. Its totient is φ = 24465408.

The previous prime is 74534003. The next prime is 74534027. The reversal of 74534016 is 61043547.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24280 + ... + 27176.

Almost surely, 274534016 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 74534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100502640).

74534016 is an abundant number, since it is smaller than the sum of its proper divisors (126471264).

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

74534016 is a wasteful number, since it uses less digits than its factorization.

74534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 74534016 is about 8633.3085199129. The cubic root of 74534016 is about 420.8411261592.

The spelling of 74534016 in words is "seventy-four million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 2897 3216 4288 5794 6432 8576 8691 11588 12864 17382 23176 25728 34764 46352 69528 92704 139056 185408 194099 278112 370816 388198 556224 582297 776396 1112448 1164594 1552792 2329188 3105584 4658376 6211168 9316752 12422336 18633504 24844672 37267008 74534016