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3135104 = 2773499
BaseRepresentation
bin1011111101011010000000
312220021112222
423331122000
51300310404
6151110212
735435150
oct13753200
95807488
103135104
1118514a5
121072368
13859cbb
145b8760
1541ddbe
hex2fd680

3135104 has 32 divisors (see below), whose sum is σ = 7140000. Its totient is φ = 1343232.

The previous prime is 3135079. The next prime is 3135113. The reversal of 3135104 is 4015313.

3135104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 854 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (223125).

Almost surely, 23135104 is an apocalyptic number.

It is an amenable number.

3135104 is an abundant number, since it is smaller than the sum of its proper divisors (4004896).

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

3135104 is an equidigital number, since it uses as much as digits as its factorization.

3135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 3135104 is about 1770.6224894087. The cubic root of 3135104 is about 146.3582868608.

The spelling of 3135104 in words is "three million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 3499 6998 13996 24493 27992 48986 55984 97972 111968 195944 223936 391888 447872 783776 1567552 3135104