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3317680 = 245113367
BaseRepresentation
bin1100101001111110110000
320020120000001
430221332300
51322131210
6155035344
740125352
oct14517660
96216001
103317680
111966693
12113bb54
138c2132
146250d2
1545803a
hex329fb0

3317680 has 40 divisors (see below), whose sum is σ = 7803072. Its totient is φ = 1311744.

The previous prime is 3317663. The next prime is 3317689. The reversal of 3317680 is 867133.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33176802 = 22014001164800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3317689) 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, 8857 + ... + 9223.

Almost surely, 23317680 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 3317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901536).

3317680 is an abundant number, since it is smaller than the sum of its proper divisors (4485392).

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

3317680 is a wasteful number, since it uses less digits than its factorization.

3317680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3317680 is about 1821.4499718631. The cubic root of 3317680 is about 149.1459614982.

The spelling of 3317680 in words is "three million, three hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 367 452 565 734 904 1130 1468 1808 1835 2260 2936 3670 4520 5872 7340 9040 14680 29360 41471 82942 165884 207355 331768 414710 663536 829420 1658840 3317680