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3355968 = 263711227
BaseRepresentation
bin1100110011010101000000
320022111112010
430303111000
51324342333
6155532520
740345110
oct14632500
96274463
103355968
111992430
12115a140
139066a5
14635040
15464563
hex333540

3355968 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 867840.

The previous prime is 3355949. The next prime is 3355991. The reversal of 3355968 is 8695533.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33559682 = 22525042434048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14671 + ... + 14897.

Almost surely, 23355968 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 3355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3355968 is an abundant number, since it is smaller than the sum of its proper divisors (7763136).

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

3355968 is a wasteful number, since it uses less digits than its factorization.

3355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 3355968 is about 1831.9301296720. The cubic root of 3355968 is about 149.7175127849.

The spelling of 3355968 in words is "three million, three hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 227 231 264 308 336 352 448 454 462 528 616 672 681 704 908 924 1056 1232 1344 1362 1589 1816 1848 2112 2464 2497 2724 3178 3632 3696 4767 4928 4994 5448 6356 7264 7392 7491 9534 9988 10896 12712 14528 14784 14982 17479 19068 19976 21792 25424 29964 34958 38136 39952 43584 50848 52437 59928 69916 76272 79904 101696 104874 119856 139832 152544 159808 209748 239712 279664 305088 419496 479424 559328 838992 1118656 1677984 3355968