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3304640196 = 2232112132672
BaseRepresentation
bin1100010011111000…
…1100111011000100
322112022021010010100
43010332030323010
523231441441241
61303525524100
7144614656344
oct30476147304
98468233110
103304640196
111446424100
12782873630
13408848400
14234c66d24
151451bc9b6
hexc4f8cec4

3304640196 has 243 divisors, whose sum is σ = 10093066893. Its totient is φ = 910578240.

The previous prime is 3304640179. The next prime is 3304640197. The reversal of 3304640196 is 6910464033.

The square root of 3304640196 is 57486.

It is a perfect power (a square), and thus also a powerful number.

3304640196 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 640 + 1 + 9 + 6 = 666.

3304640196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 488852100 + 2815788096 = 22110^2 + 53064^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3304640196.

It is not an unprimeable number, because it can be changed into a prime (3304640197) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49322955 + ... + 49323021.

Almost surely, 23304640196 is an apocalyptic number.

3304640196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3304640196 is the 57486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304640196

3304640196 is an abundant number, since it is smaller than the sum of its proper divisors (6788426697).

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

3304640196 is a wasteful number, since it uses less digits than its factorization.

3304640196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 3304640196 is about 1489.5030392275.

Multiplying 3304640196 by its sum of digits (36), we get a square (118967047056 = 3449162).

3304640196 divided by its sum of digits (36) gives a square (91795561 = 95812).

Multiplying 3304640196 by its product of nonzero digits (46656), we get a square (154181292984576 = 124169762).

The spelling of 3304640196 in words is "three billion, three hundred four million, six hundred forty thousand, one hundred ninety-six".