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3302964 = 2233717257
BaseRepresentation
bin1100100110011000110100
320012210211000
430212120310
51321143324
6154443300
740034430
oct14463064
96183730
103302964
111956625
121133530
138b8522
1461d9c0
154539c9
hex326634

3302964 has 96 divisors (see below), whose sum is σ = 10402560. Its totient is φ = 884736.

The previous prime is 3302939. The next prime is 3302987. The reversal of 3302964 is 4692033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12724 + ... + 12980.

It is an arithmetic number, because the mean of its divisors is an integer number (108360).

Almost surely, 23302964 is an apocalyptic number.

3302964 is a gapful number since it is divisible by the number (34) 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 3302964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201280).

3302964 is an abundant number, since it is smaller than the sum of its proper divisors (7099596).

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

3302964 is a wasteful number, since it uses less digits than its factorization.

3302964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3302964 is about 1817.4058435033. The cubic root of 3302964 is about 148.9251158928.

Adding to 3302964 its reverse (4692033), we get a palindrome (7994997).

The spelling of 3302964 in words is "three million, three hundred two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 257 306 357 378 459 476 514 612 714 756 771 918 1028 1071 1428 1542 1799 1836 2142 2313 3084 3213 3598 4284 4369 4626 5397 6426 6939 7196 8738 9252 10794 12852 13107 13878 16191 17476 21588 26214 27756 30583 32382 39321 48573 52428 61166 64764 78642 91749 97146 117963 122332 157284 183498 194292 235926 275247 366996 471852 550494 825741 1100988 1651482 3302964