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3364095 = 357223199
BaseRepresentation
bin1100110101010011111111
320022220200010
430311103333
51330122340
6200034303
740410600
oct14652377
96286603
103364095
111998549
121162993
1390a2b7
14637da7
15466b80
hex3354ff

3364095 has 48 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 1463616.

The previous prime is 3364093. The next prime is 3364117. The reversal of 3364095 is 5904633.

It is a happy number.

It is not a de Polignac number, because 3364095 - 21 = 3364093 is a prime.

It is a super-2 number, since 2×33640952 = 22634270338050, which contains 22 as substring.

3364095 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16806 + ... + 17004.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

Almost surely, 23364095 is an apocalyptic number.

3364095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3364095 is a deficient number, since it is larger than the sum of its proper divisors (3202305).

3364095 is a wasteful number, since it uses less digits than its factorization.

3364095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3364095 is about 1834.1469406784. The cubic root of 3364095 is about 149.8382701301.

The spelling of 3364095 in words is "three million, three hundred sixty-four thousand, ninety-five".

Divisors: 1 3 5 7 15 21 23 35 49 69 105 115 147 161 199 245 345 483 597 735 805 995 1127 1393 2415 2985 3381 4179 4577 5635 6965 9751 13731 16905 20895 22885 29253 32039 48755 68655 96117 146265 160195 224273 480585 672819 1121365 3364095