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3485463264 = 25334034101
BaseRepresentation
bin1100111110111111…
…1111001011100000
322222220111212202000
43033233333023200
524114234311024
61333505324000
7152241643323
oct31757771340
98886455660
103485463264
1115294a9158
12813336600
13437149aca
14250c967ba
15155ed9cc9
hexcfbff2e0

3485463264 has 48 divisors (see below), whose sum is σ = 10165937040. Its totient is φ = 1161820800.

The previous prime is 3485463257. The next prime is 3485463283. The reversal of 3485463264 is 4623645843.

3485463264 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 4 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016187 + ... + 2017914.

It is an arithmetic number, because the mean of its divisors is an integer number (211790355).

Almost surely, 23485463264 is an apocalyptic number.

It is an amenable number.

3485463264 is an abundant number, since it is smaller than the sum of its proper divisors (6680473776).

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

3485463264 is a wasteful number, since it uses less digits than its factorization.

3485463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034120 (or 4034106 counting only the distinct ones).

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

The square root of 3485463264 is about 59037.8121545845. The cubic root of 3485463264 is about 1516.1895646905.

The spelling of 3485463264 in words is "three billion, four hundred eighty-five million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4034101 8068202 12102303 16136404 24204606 32272808 36306909 48409212 64545616 72613818 96818424 108920727 129091232 145227636 193636848 217841454 290455272 387273696 435682908 580910544 871365816 1161821088 1742731632 3485463264