Search a number
-
+
3284012672 = 27171509197
BaseRepresentation
bin1100001110111110…
…0000111010000000
322110212110010110222
43003233200322000
523211201401142
61301511442212
7144244434653
oct30357407200
98425403428
103284012672
111435815366
12777986368
134044a5485
1423221789a
15143495bd2
hexc3be0e80

3284012672 has 32 divisors (see below), whose sum is σ = 6927218820. Its totient is φ = 1545416704.

The previous prime is 3284012647. The next prime is 3284012681. The reversal of 3284012672 is 2762104823.

It can be written as a sum of positive squares in 2 ways, for example, as 3120786496 + 163226176 = 55864^2 + 12776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752423 + ... + 756774.

Almost surely, 23284012672 is an apocalyptic number.

3284012672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3284012672 is an abundant number, since it is smaller than the sum of its proper divisors (3643206148).

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

3284012672 is a wasteful number, since it uses less digits than its factorization.

3284012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509228 (or 1509216 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 3284012672 is about 57306.3056914333. The cubic root of 3284012672 is about 1486.3974151820.

The spelling of 3284012672 in words is "three billion, two hundred eighty-four million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 1509197 3018394 6036788 12073576 24147152 25656349 48294304 51312698 96588608 102625396 193177216 205250792 410501584 821003168 1642006336 3284012672