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3212682912 = 25341239461
BaseRepresentation
bin1011111101111101…
…1010011010100000
322021220020012110000
42333133122122200
523034421323122
61250442540000
7142420232325
oct27737323240
98256205400
103212682912
1113a952624a
12757b07600
133c278c60a
1422696ab4c
1513c0a60ac
hexbf7da6a0

3212682912 has 60 divisors (see below), whose sum is σ = 9448418826. Its totient is φ = 1070893440.

The previous prime is 3212682911. The next prime is 3212682931. The reversal of 3212682912 is 2192862123.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3190442256 + 22240656 = 56484^2 + 4716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3212682911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617139 + ... + 622322.

Almost surely, 23212682912 is an apocalyptic number.

3212682912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3212682912 is an abundant number, since it is smaller than the sum of its proper divisors (6235735914).

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

3212682912 is a wasteful number, since it uses less digits than its factorization.

3212682912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239483 (or 1239466 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3212682912 is about 56680.5338012972. The cubic root of 3212682912 is about 1475.5568766957.

The spelling of 3212682912 in words is "three billion, two hundred twelve million, six hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1239461 2478922 3718383 4957844 7436766 9915688 11155149 14873532 19831376 22310298 29747064 33465447 39662752 44620596 59494128 66930894 89241192 100396341 118988256 133861788 178482384 200792682 267723576 356964768 401585364 535447152 803170728 1070894304 1606341456 3212682912