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3344904 = 233246457
BaseRepresentation
bin1100110000101000001000
320021221100100
430300220020
51324014104
6155405400
740300623
oct14605010
96257310
103344904
111985092
121153860
13901644
14630dba
15461139
hex330a08

3344904 has 24 divisors (see below), whose sum is σ = 9059310. Its totient is φ = 1114944.

The previous prime is 3344899. The next prime is 3344909. The reversal of 3344904 is 4094433.

It is an interprime number because it is at equal distance from previous prime (3344899) and next prime (3344909).

It can be written as a sum of positive squares in only one way, i.e., 2340900 + 1004004 = 1530^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33449042 = 22376765538432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23157 + ... + 23300.

Almost surely, 23344904 is an apocalyptic number.

It is an amenable number.

3344904 is an abundant number, since it is smaller than the sum of its proper divisors (5714406).

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

3344904 is a wasteful number, since it uses less digits than its factorization.

3344904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46469 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3344904 is about 1828.9078708344. The cubic root of 3344904 is about 149.5528014144.

The spelling of 3344904 in words is "three million, three hundred forty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 46457 92914 139371 185828 278742 371656 418113 557484 836226 1114968 1672452 3344904