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3426345864 = 2332325314629
BaseRepresentation
bin1100110000111001…
…1110001110001000
322211210021101220200
43030032132032020
524004121031424
61323554252200
7150623313354
oct31416361610
98753241820
103426345864
1114a90a03a7
127b7587060
13427b1b7b6
142470a8464
15150c0d8c9
hexcc39e388

3426345864 has 48 divisors (see below), whose sum is σ = 9283173900. Its totient is φ = 1141686144.

The previous prime is 3426345803. The next prime is 3426345877. The reversal of 3426345864 is 4685436243.

3426345864 is a `hidden beast` number, since 3 + 4 + 2 + 63 + 4 + 586 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3312923364 + 113422500 = 57558^2 + 10650^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226902 + ... + 241530.

Almost surely, 23426345864 is an apocalyptic number.

It is an amenable number.

3426345864 is an abundant number, since it is smaller than the sum of its proper divisors (5856828036).

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

3426345864 is a wasteful number, since it uses less digits than its factorization.

3426345864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17887 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 3426345864 is about 58534.9969163747. The cubic root of 3426345864 is about 1507.5685418866.

The spelling of 3426345864 in words is "three billion, four hundred twenty-six million, three hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3253 6506 9759 13012 14629 19518 26024 29258 29277 39036 43887 58516 58554 78072 87774 117032 117108 131661 175548 234216 263322 351096 526644 1053288 47588137 95176274 142764411 190352548 285528822 380705096 428293233 571057644 856586466 1142115288 1713172932 3426345864