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3313408 = 287432
BaseRepresentation
bin1100101000111100000000
320020100010211
430220330000
51322012113
6155003504
740110040
oct14507400
96210124
103313408
11196345a
121139594
138c01c7
14623720
15456b3d
hex328f00

3313408 has 54 divisors (see below), whose sum is σ = 7738584. Its totient is φ = 1387008.

The previous prime is 3313399. The next prime is 3313411. The reversal of 3313408 is 8043133.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77035 + ... + 77077.

Almost surely, 23313408 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 3313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869292).

3313408 is an abundant number, since it is smaller than the sum of its proper divisors (4425176).

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

3313408 is an frugal number, since it uses more digits than its factorization.

3313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3313408 is about 1820.2769020124. The cubic root of 3313408 is about 149.0819182291.

It can be divided in two parts, 3313 and 408, that added together give a square (3721 = 612).

The spelling of 3313408 in words is "three million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 896 1204 1376 1792 1849 2408 2752 3698 4816 5504 7396 9632 11008 12943 14792 19264 25886 29584 38528 51772 59168 77056 103544 118336 207088 236672 414176 473344 828352 1656704 3313408