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3360864 = 253132693
BaseRepresentation
bin1100110100100001100000
320022202020110
430310201200
51330021424
6200011320
740365303
oct14644140
96282213
103360864
111996081
121160b40
139089a0
14636b3a
15465c29
hex334860

3360864 has 48 divisors (see below), whose sum is σ = 9504432. Its totient is φ = 1033728.

The previous prime is 3360859. The next prime is 3360869. The reversal of 3360864 is 4680633.

3360864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3360859) and next prime (3360869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33608642 = 22590813652992, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360869) 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, 99 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (198009).

Almost surely, 23360864 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 3360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752216).

3360864 is an abundant number, since it is smaller than the sum of its proper divisors (6143568).

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

3360864 is a wasteful number, since it uses less digits than its factorization.

3360864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3360864 is about 1833.2659381552. The cubic root of 3360864 is about 149.7902847111.

It can be divided in two parts, 3360 and 864, that added together give a palindrome (4224).

The spelling of 3360864 in words is "three million, three hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2693 5386 8079 10772 16158 21544 32316 35009 43088 64632 70018 86176 105027 129264 140036 210054 258528 280072 420108 560144 840216 1120288 1680432 3360864