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3330468 = 2232711303
BaseRepresentation
bin1100101101000110100100
320021012112200
430231012210
51323033333
6155214500
740210551
oct14550644
96235480
103330468
111975259
121147430
138c7bbb
14629a28
1545bc13
hex32d1a4

3330468 has 36 divisors (see below), whose sum is σ = 8543808. Its totient is φ = 1093680.

The previous prime is 3330461. The next prime is 3330473. The reversal of 3330468 is 8640333.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33304682 = 22184034198048, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3330461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905 + ... + 3207.

It is an arithmetic number, because the mean of its divisors is an integer number (237328).

Almost surely, 23330468 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 3330468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271904).

3330468 is an abundant number, since it is smaller than the sum of its proper divisors (5213340).

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

3330468 is a wasteful number, since it uses less digits than its factorization.

3330468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3330468 is about 1824.9569857945. The cubic root of 3330468 is about 149.3373435537.

The spelling of 3330468 in words is "three million, three hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1303 2556 2606 3909 5212 7818 11727 15636 23454 46908 92513 185026 277539 370052 555078 832617 1110156 1665234 3330468