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74341680 = 243571719137
BaseRepresentation
bin1000110111001…
…01110100110000
312011212221121120
410123211310300
5123012413210
611213222240
71561615410
oct433456460
9164787546
1074341680
1138a67006
1220a91980
131252ba7a
149c32640
1567d7270
hex46e5d30

74341680 has 320 divisors, whose sum is σ = 295695360. Its totient is φ = 15040512.

The previous prime is 74341649. The next prime is 74341691. The reversal of 74341680 is 8614347.

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 63 ways as a sum of consecutive naturals, for example, 542572 + ... + 542708.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 274341680 is an apocalyptic number.

74341680 is a gapful number since it is divisible by the number (70) 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 74341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

74341680 is an abundant number, since it is smaller than the sum of its proper divisors (221353680).

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

74341680 is a wasteful number, since it uses less digits than its factorization.

74341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 74341680 is about 8622.1621418296. The cubic root of 74341680 is about 420.4788189966.

The spelling of 74341680 in words is "seventy-four million, three hundred forty-one thousand, six hundred eighty".