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3368904 = 2337111823
BaseRepresentation
bin1100110110011111001000
320100011021020
430312133020
51330301104
6200112440
740430610
oct14663710
96304236
103368904
1119a1120
121165720
1390c546
14639a40
154682d9
hex3367c8

3368904 has 64 divisors (see below), whose sum is σ = 10506240. Its totient is φ = 874560.

The previous prime is 3368903. The next prime is 3368923. The reversal of 3368904 is 4098633.

It is a super-2 number, since 2×33689042 = 22699028322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3368903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 23368904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120).

3368904 is an abundant number, since it is smaller than the sum of its proper divisors (7137336).

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

3368904 is a wasteful number, since it uses less digits than its factorization.

3368904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3368904 is about 1835.4574361722. The cubic root of 3368904 is about 149.9096344603.

The spelling of 3368904 in words is "three million, three hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1823 1848 3646 5469 7292 10938 12761 14584 20053 21876 25522 38283 40106 43752 51044 60159 76566 80212 102088 120318 140371 153132 160424 240636 280742 306264 421113 481272 561484 842226 1122968 1684452 3368904