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3214986432 = 26372341729
BaseRepresentation
bin1011111110100000…
…1100110011000000
322022001120020021120
42333220030303000
523041014031212
61251004152240
7142445635200
oct27750146300
98261506246
103214986432
1113aa859989
12758838680
133c30b7c48
14226daa400
1513c3ad88c
hexbfa0ccc0

3214986432 has 84 divisors (see below), whose sum is σ = 9895133880. Its totient is φ = 918564864.

The previous prime is 3214986377. The next prime is 3214986493. The reversal of 3214986432 is 2346894123.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×32149864322 = 20672275515888181248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 161457 + ... + 180272.

Almost surely, 23214986432 is an apocalyptic number.

3214986432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3214986432 is an abundant number, since it is smaller than the sum of its proper divisors (6680147448).

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

3214986432 is a wasteful number, since it uses less digits than its factorization.

3214986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341758 (or 341741 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3214986432 is about 56700.8503639937. The cubic root of 3214986432 is about 1475.9094545700.

The spelling of 3214986432 in words is "three billion, two hundred fourteen million, nine hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 341729 683458 1025187 1366916 2050374 2392103 2733832 4100748 4784206 5467664 7176309 8201496 9568412 10935328 14352618 16402992 16744721 19136824 21870656 28705236 32805984 33489442 38273648 50234163 57410472 65611968 66978884 76547296 100468326 114820944 133957768 153094592 200936652 229641888 267915536 401873304 459283776 535831072 803746608 1071662144 1607493216 3214986432