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3394836 = 2232181521
BaseRepresentation
bin1100111100110100010100
320101110211200
430330310110
51332113321
6200432500
740566324
oct14746424
96343750
103394836
111a09655
121178730
1391b2a3
14645284
15470d26
hex33cd14

3394836 has 36 divisors (see below), whose sum is σ = 8645364. Its totient is φ = 1123200.

The previous prime is 3394819. The next prime is 3394843. The reversal of 3394836 is 6384933.

3394836 = T96 + T97 + ... + T276.

3394836 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 2 ways, for example, as 367236 + 3027600 = 606^2 + 1740^2 .

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

It is a super-2 number, since 2×33948362 = 23049822933792, which contains 22 as substring.

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 3394836.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6256 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (240149).

Almost surely, 23394836 is an apocalyptic number.

3394836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3394836 is an abundant number, since it is smaller than the sum of its proper divisors (5250528).

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

3394836 is a wasteful number, since it uses less digits than its factorization.

3394836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

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

The square root of 3394836 is about 1842.5080732523. The cubic root of 3394836 is about 150.2932928217.

The spelling of 3394836 in words is "three million, three hundred ninety-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 521 543 724 1042 1086 1563 1629 2084 2172 3126 3258 4689 6252 6516 9378 18756 94301 188602 282903 377204 565806 848709 1131612 1697418 3394836