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77341140 = 22325429673
BaseRepresentation
bin1001001110000…
…10000111010100
312101112100002200
410213002013110
5124244404030
611401404500
71626250242
oct447020724
9171470080
1077341140
113a7255a8
1221a99730
131303c0b6
14a3b3792
156bcad60
hex49c21d4

77341140 has 36 divisors (see below), whose sum is σ = 234602004. Its totient is φ = 20624256.

The previous prime is 77341139. The next prime is 77341169. The reversal of 77341140 is 4114377.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 66292164 = 3324^2 + 8142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×773411403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 214657 + ... + 215016.

Almost surely, 277341140 is an apocalyptic number.

It is an amenable number.

77341140 is an abundant number, since it is smaller than the sum of its proper divisors (157260864).

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

77341140 is a wasteful number, since it uses less digits than its factorization.

77341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429688 (or 429683 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77341140 is about 8794.3811607185. The cubic root of 77341140 is about 426.0594375837.

The spelling of 77341140 in words is "seventy-seven million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 429673 859346 1289019 1718692 2148365 2578038 3867057 4296730 5156076 6445095 7734114 8593460 12890190 15468228 19335285 25780380 38670570 77341140