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74461380 = 223572193143
BaseRepresentation
bin1000111000000…
…11000011000100
312012010000210220
410130003003010
5123030231010
611215544340
71562624400
oct434030304
9165100726
1074461380
1139038a34
1220b2b0b0
13125713b6
149c64100
15680c970
hex47030c4

74461380 has 288 divisors, whose sum is σ = 269660160. Its totient is φ = 15240960.

The previous prime is 74461379. The next prime is 74461391. The reversal of 74461380 is 8316447.

It is a super-2 number, since 2×744613802 = 11088994223008800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1731639 + ... + 1731681.

It is an arithmetic number, because the mean of its divisors is an integer number (936320).

Almost surely, 274461380 is an apocalyptic number.

74461380 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 74461380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

74461380 is an abundant number, since it is smaller than the sum of its proper divisors (195198780).

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

74461380 is a wasteful number, since it uses less digits than its factorization.

74461380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

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

The square root of 74461380 is about 8629.1007642743. The cubic root of 74461380 is about 420.7043736043.

The spelling of 74461380 in words is "seventy-four million, four hundred sixty-one thousand, three hundred eighty".