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3204294912 = 2832713172931
BaseRepresentation
bin1011111011111101…
…1010100100000000
322021022110001021100
42332333122210000
523030244414122
61245543054400
7142256025450
oct27677324400
98238401240
103204294912
1113a4817215
12755141400
133c0b136c0
142257c5d60
1513b49aaac
hexbefda900

3204294912 has 864 divisors, whose sum is σ = 12856596480. Its totient is φ = 743178240.

The previous prime is 3204294901. The next prime is 3204294917. The reversal of 3204294912 is 2194924023.

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

It is not an unprimeable number, because it can be changed into a prime (3204294917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103364337 + ... + 103364367.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 23204294912 is an apocalyptic number.

3204294912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3204294912 is an abundant number, since it is smaller than the sum of its proper divisors (9652301568).

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

3204294912 is a wasteful number, since it uses less digits than its factorization.

3204294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3204294912 is about 56606.4917831868. The cubic root of 3204294912 is about 1474.2715793540.

It can be divided in two parts, 3204 and 294912, that added together give a square (298116 = 5462).

The spelling of 3204294912 in words is "three billion, two hundred four million, two hundred ninety-four thousand, nine hundred twelve".