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3418058064 = 243679710957
BaseRepresentation
bin1100101110111011…
…0110110101010000
322211012200100012010
43023232312311100
524000010324224
61323100502520
7150463004601
oct31356666520
98735610163
103418058064
1114a444a683
127b484aa40
134261a9385
14245d4bda8
15150122e29
hexcbbb6d50

3418058064 has 80 divisors (see below), whose sum is σ = 9054989888. Its totient is φ = 1110675456.

The previous prime is 3418058051. The next prime is 3418058069. The reversal of 3418058064 is 4608508143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418058069) 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, 306474 + ... + 317430.

Almost surely, 23418058064 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 3418058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527494944).

3418058064 is an abundant number, since it is smaller than the sum of its proper divisors (5636931824).

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

3418058064 is a wasteful number, since it uses less digits than its factorization.

3418058064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3418058064 is about 58464.1605088109. The cubic root of 3418058064 is about 1506.3520355710.

The spelling of 3418058064 in words is "three billion, four hundred eighteen million, fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 97 134 194 201 268 291 388 402 536 582 776 804 1072 1164 1552 1608 2328 3216 4656 6499 10957 12998 19497 21914 25996 32871 38994 43828 51992 65742 77988 87656 103984 131484 155976 175312 262968 311952 525936 734119 1062829 1468238 2125658 2202357 2936476 3188487 4251316 4404714 5872952 6376974 8502632 8809428 11745904 12753948 17005264 17618856 25507896 35237712 51015792 71209543 142419086 213628629 284838172 427257258 569676344 854514516 1139352688 1709029032 3418058064