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3008896 = 27112137
BaseRepresentation
bin1011011110100110000000
312122212102121
423132212000
51232241041
6144254024
734401202
oct13364600
95585377
103008896
1117756a0
121011314
13814717
14584772
153e67d1
hex2de980

3008896 has 32 divisors (see below), whose sum is σ = 6542280. Its totient is φ = 1367040.

The previous prime is 3008879. The next prime is 3008911. The reversal of 3008896 is 6988003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340 + ... + 2476.

Almost surely, 23008896 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 3008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271140).

3008896 is an abundant number, since it is smaller than the sum of its proper divisors (3533384).

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

3008896 is a wasteful number, since it uses less digits than its factorization.

3008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3008896 is about 1734.6169605997. The cubic root of 3008896 is about 144.3673747089.

The spelling of 3008896 in words is "three million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2137 4274 8548 17096 23507 34192 47014 68384 94028 136768 188056 273536 376112 752224 1504448 3008896