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3330264 = 233743461
BaseRepresentation
bin1100101101000011011000
320021012021010
430231003120
51323032024
6155213520
740210140
oct14550330
96235233
103330264
111975093
1211472a0
138c7a92
14629920
1545bb29
hex32d0d8

3330264 has 64 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 927360.

The previous prime is 3330251. The next prime is 3330281. The reversal of 3330264 is 4620333.

It is a super-2 number, since 2×33302642 = 22181316619392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3330264.

It is a congruent number.

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, 6994 + ... + 7454.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 23330264 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 3330264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720).

3330264 is an abundant number, since it is smaller than the sum of its proper divisors (6427176).

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

3330264 is a wasteful number, since it uses less digits than its factorization.

3330264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3330264 is about 1824.9010932103. The cubic root of 3330264 is about 149.3342943887.

Adding to 3330264 its reverse (4620333), we get a palindrome (7950597).

The spelling of 3330264 in words is "three million, three hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 461 516 602 903 922 1032 1204 1383 1806 1844 2408 2766 3227 3612 3688 5532 6454 7224 9681 11064 12908 19362 19823 25816 38724 39646 59469 77448 79292 118938 138761 158584 237876 277522 416283 475752 555044 832566 1110088 1665132 3330264