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3834260864 = 27737115657
BaseRepresentation
bin1110010010001010…
…0010110110000000
3100220012211122002122
43210202202312000
530323032321424
61432245303412
7164005452050
oct34442426600
910805748078
103834260864
111698381a35
128b0104b68
134914a1915
1428532d560
1517693745e
hexe48a2d80

3834260864 has 64 divisors (see below), whose sum is σ = 8965808160. Its totient is φ = 1598828544.

The previous prime is 3834260831. The next prime is 3834260867. The reversal of 3834260864 is 4680624383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834260867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24677 + ... + 90980.

Almost surely, 23834260864 is an apocalyptic number.

It is an amenable number.

3834260864 is an abundant number, since it is smaller than the sum of its proper divisors (5131547296).

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

3834260864 is a wasteful number, since it uses less digits than its factorization.

3834260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115715 (or 115703 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 3834260864 is about 61921.4087695039. The cubic root of 3834260864 is about 1565.1665300646.

The spelling of 3834260864 in words is "three billion, eight hundred thirty-four million, two hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 4144 4736 8288 16576 33152 115657 231314 462628 809599 925256 1619198 1850512 3238396 3701024 4279309 6476792 7402048 8558618 12953584 14804096 17117236 25907168 29955163 34234472 51814336 59910326 68468944 103628672 119820652 136937888 239641304 273875776 479282608 547751552 958565216 1917130432 3834260864