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3340764 = 22357491
BaseRepresentation
bin1100101111100111011100
320021201200000
430233213130
51323401024
6155334300
740252560
oct14574734
96251600
103340764
111981a69
121151390
138cc7ab
1462d6a0
1545ecc9
hex32f9dc

3340764 has 72 divisors (see below), whose sum is σ = 10028928. Its totient is φ = 952560.

The previous prime is 3340747. The next prime is 3340769. The reversal of 3340764 is 4670433.

3340764 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33407642 = 22321408207392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6559 + ... + 7049.

Almost surely, 23340764 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 3340764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014464).

3340764 is an abundant number, since it is smaller than the sum of its proper divisors (6688164).

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

3340764 is a wasteful number, since it uses less digits than its factorization.

3340764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3340764 is about 1827.7756973983. The cubic root of 3340764 is about 149.4910752568.

The spelling of 3340764 in words is "three million, three hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 491 567 756 972 982 1134 1473 1701 1964 2268 2946 3402 3437 4419 5892 6804 6874 8838 10311 13257 13748 17676 20622 26514 30933 39771 41244 53028 61866 79542 92799 119313 123732 159084 185598 238626 278397 371196 477252 556794 835191 1113588 1670382 3340764