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74385168 = 243111310837
BaseRepresentation
bin1000110111100…
…00011100010000
312011222011021020
410123300130100
5123020311133
611214155440
71562156244
oct433603420
9164864236
1074385168
1138a96750
1220ab2b80
13125457c0
149c44424
1567e50b3
hex46f0710

74385168 has 80 divisors (see below), whose sum is σ = 225777216. Its totient is φ = 20805120.

The previous prime is 74385163. The next prime is 74385257. The reversal of 74385168 is 86158347.

It is not an unprimeable number, because it can be changed into a prime (74385163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446 + ... + 12282.

Almost surely, 274385168 is an apocalyptic number.

74385168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112888608).

74385168 is an abundant number, since it is smaller than the sum of its proper divisors (151392048).

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

74385168 is a wasteful number, since it uses less digits than its factorization.

74385168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10866 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 74385168 is about 8624.6836463722. The cubic root of 74385168 is about 420.5607928345.

The spelling of 74385168 in words is "seventy-four million, three hundred eighty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 10837 21674 32511 43348 65022 86696 119207 130044 140881 173392 238414 260088 281762 357621 422643 476828 520176 563524 715242 845286 953656 1127048 1430484 1549691 1690572 1907312 2254096 2860968 3099382 3381144 4649073 5721936 6198764 6762288 9298146 12397528 18596292 24795056 37192584 74385168