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3290952 = 2337191031
BaseRepresentation
bin1100100011011101001000
320012012100010
430203131020
51320302302
6154311520
736654420
oct14433510
96165303
103290952
1119485a5
1211285a0
138b2c12
14619480
1545016c
hex323748

3290952 has 64 divisors (see below), whose sum is σ = 9907200. Its totient is φ = 889920.

The previous prime is 3290927. The next prime is 3290977. The reversal of 3290952 is 2590923.

It is an interprime number because it is at equal distance from previous prime (3290927) and next prime (3290977).

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, 2677 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (154800).

Almost surely, 23290952 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 3290952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953600).

3290952 is an abundant number, since it is smaller than the sum of its proper divisors (6616248).

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

3290952 is a wasteful number, since it uses less digits than its factorization.

3290952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3290952 is about 1814.0981230352. The cubic root of 3290952 is about 148.7443629434.

The spelling of 3290952 in words is "three million, two hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1031 1064 1596 2062 3093 3192 4124 6186 7217 8248 12372 14434 19589 21651 24744 28868 39178 43302 57736 58767 78356 86604 117534 137123 156712 173208 235068 274246 411369 470136 548492 822738 1096984 1645476 3290952