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74390616 = 2333479719
BaseRepresentation
bin1000110111100…
…01110001011000
312011222102202000
410123301301120
5123020444431
611214241000
71562211156
oct433616130
9164872660
1074390616
1138a9a853
1220ab6160
1312548121
149c463d6
1567e69e6
hex46f1c58

74390616 has 64 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 24710688.

The previous prime is 74390581. The next prime is 74390629. The reversal of 74390616 is 61609347.

74390616 is a `hidden beast` number, since 7 + 4 + 39 + 0 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 103105 + ... + 103823.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 274390616 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 74390616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

74390616 is an abundant number, since it is smaller than the sum of its proper divisors (132969384).

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

74390616 is a wasteful number, since it uses less digits than its factorization.

74390616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 74390616 is about 8624.9994782609. Note that the first 3 decimals coincide. The cubic root of 74390616 is about 420.5710599317.

The spelling of 74390616 in words is "seventy-four million, three hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 719 958 1437 1438 1916 2157 2874 2876 3832 4311 4314 5748 5752 6471 8622 8628 11496 12933 12942 17244 17256 19413 25866 25884 34488 38826 51732 51768 77652 103464 155304 344401 688802 1033203 1377604 2066406 2755208 3099609 4132812 6199218 8265624 9298827 12398436 18597654 24796872 37195308 74390616