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3432122064 = 243371134961
BaseRepresentation
bin1100110010010010…
…0000011011010000
322212012010212101000
43030210200123100
524012110401224
61324322142000
7151023361530
oct31444403320
98765125330
103432122064
111501386118
127b94b1900
13429091977
14247b6d4c0
151514a00c9
hexcc9206d0

3432122064 has 80 divisors (see below), whose sum is σ = 11258823040. Its totient is φ = 980605440.

The previous prime is 3432122063. The next prime is 3432122069. The reversal of 3432122064 is 4602212343.

3432122064 is a `hidden beast` number, since 3 + 432 + 1 + 220 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432122063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564457 + ... + 570504.

It is an arithmetic number, because the mean of its divisors is an integer number (140735288).

Almost surely, 23432122064 is an apocalyptic number.

It is an amenable number.

3432122064 is an abundant number, since it is smaller than the sum of its proper divisors (7826700976).

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

3432122064 is a wasteful number, since it uses less digits than its factorization.

3432122064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134985 (or 1134973 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3432122064 is about 58584.3158533067. The cubic root of 3432122064 is about 1508.4152289942.

The spelling of 3432122064 in words is "three billion, four hundred thirty-two million, one hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 1134961 2269922 3404883 4539844 6809766 7944727 9079688 10214649 13619532 15889454 18159376 20429298 23834181 27239064 30643947 31778908 40858596 47668362 54478128 61287894 63557816 71502543 81717192 95336724 122575788 127115632 143005086 163434384 190673448 214507629 245151576 286010172 381346896 429015258 490303152 572020344 858030516 1144040688 1716061032 3432122064