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3290976 = 253313293
BaseRepresentation
bin1100100011011101100000
320012012101000
430203131200
51320302401
6154312000
736654453
oct14433540
96165330
103290976
111948617
121128600
138b2c30
1461949a
15450186
hex323760

3290976 has 96 divisors (see below), whose sum is σ = 10372320. Its totient is φ = 1009152.

The previous prime is 3290927. The next prime is 3290977. The reversal of 3290976 is 6790923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3290976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11086 + ... + 11378.

It is an arithmetic number, because the mean of its divisors is an integer number (108045).

Almost surely, 23290976 is an apocalyptic number.

3290976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186160).

3290976 is an abundant number, since it is smaller than the sum of its proper divisors (7081344).

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

3290976 is a wasteful number, since it uses less digits than its factorization.

3290976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3290976 is about 1814.1047378804. The cubic root of 3290976 is about 148.7447245263.

The spelling of 3290976 in words is "three million, two hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 293 312 351 416 432 468 586 624 702 864 879 936 1172 1248 1404 1758 1872 2344 2637 2808 3516 3744 3809 4688 5274 5616 7032 7618 7911 9376 10548 11232 11427 14064 15236 15822 21096 22854 28128 30472 31644 34281 42192 45708 60944 63288 68562 84384 91416 102843 121888 126576 137124 182832 205686 253152 274248 365664 411372 548496 822744 1096992 1645488 3290976