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3348968 = 23779757
BaseRepresentation
bin1100110001100111101000
320022010220212
430301213220
51324131333
6155440252
740315520
oct14614750
96263825
103348968
111988147
121156088
1390344c
14632680
15462448
hex3319e8

3348968 has 32 divisors (see below), whose sum is σ = 7276800. Its totient is φ = 1415232.

The previous prime is 3348953. The next prime is 3348973. The reversal of 3348968 is 8698433.

3348968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33489682 = 22431173330048, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4046 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (227400).

Almost surely, 23348968 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 3348968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638400).

3348968 is an abundant number, since it is smaller than the sum of its proper divisors (3927832).

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

3348968 is a wasteful number, since it uses less digits than its factorization.

3348968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 3348968 is about 1830.0185791407. The cubic root of 3348968 is about 149.6133449161.

The spelling of 3348968 in words is "three million, three hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 757 1106 1514 2212 3028 4424 5299 6056 10598 21196 42392 59803 119606 239212 418621 478424 837242 1674484 3348968