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73412664 = 233131713841
BaseRepresentation
bin1000110000000…
…11000000111000
312010010202020120
410120003000320
5122243201124
611141253240
71550666043
oct430030070
9163122216
1073412664
1138492026
1220704220
1312294c60
149a6dc5a
1566a1d79
hex4603038

73412664 has 64 divisors (see below), whose sum is σ = 209291040. Its totient is φ = 21258240.

The previous prime is 73412657. The next prime is 73412671. The reversal of 73412664 is 46621437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73412657) and next prime (73412671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1617 + ... + 12224.

Almost surely, 273412664 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 73412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104645520).

73412664 is an abundant number, since it is smaller than the sum of its proper divisors (135878376).

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

73412664 is a wasteful number, since it uses less digits than its factorization.

73412664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880 (or 13876 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 73412664 is about 8568.1190467920. The cubic root of 73412664 is about 418.7199576279.

The spelling of 73412664 in words is "seventy-three million, four hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 13841 27682 41523 55364 83046 110728 166092 179933 235297 332184 359866 470594 539799 705891 719732 941188 1079598 1411782 1439464 1882376 2159196 2823564 3058861 4318392 5647128 6117722 9176583 12235444 18353166 24470888 36706332 73412664