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3360896 = 27711231
BaseRepresentation
bin1100110100100010000000
320022202021122
430310202000
51330022041
6200011412
740365350
oct14644200
96282248
103360896
111996100
121160b68
139089c6
14636b60
15465c4b
hex334880

3360896 has 96 divisors (see below), whose sum is σ = 8682240. Its totient is φ = 1267200.

The previous prime is 3360869. The next prime is 3360937. The reversal of 3360896 is 6980633.

It is a super-2 number, since 2×33608962 = 22591243845632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108401 + ... + 108431.

It is an arithmetic number, because the mean of its divisors is an integer number (90440).

Almost surely, 23360896 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 3360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341120).

3360896 is an abundant number, since it is smaller than the sum of its proper divisors (5321344).

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

3360896 is a wasteful number, since it uses less digits than its factorization.

3360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3360896 is about 1833.2746657280. The cubic root of 3360896 is about 149.7907601120.

The spelling of 3360896 in words is "three million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 121 124 128 154 176 217 224 242 248 308 341 352 434 448 484 496 616 682 704 847 868 896 968 992 1232 1364 1408 1694 1736 1936 1984 2387 2464 2728 3388 3472 3751 3872 3968 4774 4928 5456 6776 6944 7502 7744 9548 9856 10912 13552 13888 15004 15488 19096 21824 26257 27104 27776 30008 38192 43648 52514 54208 60016 76384 105028 108416 120032 152768 210056 240064 305536 420112 480128 840224 1680448 3360896