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3126968 = 2313107281
BaseRepresentation
bin1011111011011010111000
312212212101122
423323122320
51300030333
6151004412
735402345
oct13733270
95785348
103126968
111846379
121069708
138563a0
145b57cc
1541b798
hex2fb6b8

3126968 has 32 divisors (see below), whose sum is σ = 6395760. Its totient is φ = 1424640.

The previous prime is 3126961. The next prime is 3126973. The reversal of 3126968 is 8696213.

It is a super-3 number, since 3×31269683 = 91725812076666333696, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10988 + ... + 11268.

Almost surely, 23126968 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 3126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197880).

3126968 is an abundant number, since it is smaller than the sum of its proper divisors (3268792).

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

3126968 is a wasteful number, since it uses less digits than its factorization.

3126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 3126968 is about 1768.3234998156. The cubic root of 3126968 is about 146.2315709605.

The spelling of 3126968 in words is "three million, one hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 107 214 281 428 562 856 1124 1391 2248 2782 3653 5564 7306 11128 14612 29224 30067 60134 120268 240536 390871 781742 1563484 3126968