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74106084 = 22313538963
BaseRepresentation
bin1000110101011…
…00010011100100
312011102222102210
410122230103210
5122432343314
611204203420
71556614503
oct432542344
9164388383
1074106084
1138915aa8
1220999570
1312478770
149bb083a
15678c559
hex46ac4e4

74106084 has 48 divisors (see below), whose sum is σ = 189749952. Its totient is φ = 22369152.

The previous prime is 74106073. The next prime is 74106091. The reversal of 74106084 is 48060147.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (3953124).

Almost surely, 274106084 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 74106084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874976).

74106084 is an abundant number, since it is smaller than the sum of its proper divisors (115643868).

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

74106084 is a wasteful number, since it uses less digits than its factorization.

74106084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 74106084 is about 8608.4890660324. The cubic root of 74106084 is about 420.0341695556.

The spelling of 74106084 in words is "seventy-four million, one hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 8963 17926 26889 35852 53778 107556 116519 233038 349557 466076 475039 699114 950078 1398228 1425117 1900156 2850234 5700468 6175507 12351014 18526521 24702028 37053042 74106084