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3315204 = 2232175417
BaseRepresentation
bin1100101001011000000100
320020102121100
430221120010
51322041304
6155020100
740115214
oct14513004
96212540
103315204
111964842
12113a630
138c0c79
14624244
15457439
hex329604

3315204 has 36 divisors (see below), whose sum is σ = 8874684. Its totient is φ = 1039872.

The previous prime is 3315173. The next prime is 3315209. The reversal of 3315204 is 4025133.

3315204 = T616 + T617 + ... + T632.

3315204 is digitally balanced in base 5, 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 2 ways, for example, as 1327104 + 1988100 = 1152^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3315209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2097 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (246519).

Almost surely, 23315204 is an apocalyptic number.

3315204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3315204 is an abundant number, since it is smaller than the sum of its proper divisors (5559480).

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

3315204 is a wasteful number, since it uses less digits than its factorization.

3315204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3315204 is about 1820.7701667152. The cubic root of 3315204 is about 149.1088494897.

The spelling of 3315204 in words is "three million, three hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5417 10834 16251 21668 32502 48753 65004 92089 97506 184178 195012 276267 368356 552534 828801 1105068 1657602 3315204