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74420016 = 24311178291
BaseRepresentation
bin1000110111110…
…00111100110000
312012000221001220
410123320330300
5123022420031
611215025040
71562362656
oct433707460
9165027056
1074420016
113900a950
1220b0b180
1312558618
149c52dd6
156800596
hex46f8f30

74420016 has 80 divisors (see below), whose sum is σ = 222092928. Its totient is φ = 21222400.

The previous prime is 74420011. The next prime is 74420023. The reversal of 74420016 is 61002447.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (74420011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4831 + ... + 13121.

Almost surely, 274420016 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 74420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111046464).

74420016 is an abundant number, since it is smaller than the sum of its proper divisors (147672912).

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

74420016 is a wasteful number, since it uses less digits than its factorization.

74420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74420016 is about 8626.7036578290. The cubic root of 74420016 is about 420.6264574235.

Subtracting from 74420016 its reverse (61002447), we obtain a square (13417569 = 36632).

The spelling of 74420016 in words is "seventy-four million, four hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8291 8976 16582 24873 33164 49746 66328 91201 99492 132656 140947 182402 198984 273603 281894 364804 397968 422841 547206 563788 729608 845682 1094412 1127576 1459216 1550417 1691364 2188824 2255152 3100834 3382728 4377648 4651251 6201668 6765456 9302502 12403336 18605004 24806672 37210008 74420016