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3332264 = 23131792
BaseRepresentation
bin1100101101100010101000
320021022000012
430231202220
51323113024
6155231052
740216025
oct14554250
96238005
103332264
111976641
121148488
138c8970
1462a54c
1545c50e
hex32d8a8

3332264 has 24 divisors (see below), whose sum is σ = 6766410. Its totient is φ = 1529376.

The previous prime is 3332233. The next prime is 3332267. The reversal of 3332264 is 4622333.

It can be written as a sum of positive squares in only one way, i.e., 3204100 + 128164 = 1790^2 + 358^2 .

It is a super-2 number, since 2×33322642 = 22207966731392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3332267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18527 + ... + 18705.

Almost surely, 23332264 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 3332264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383205).

3332264 is an abundant number, since it is smaller than the sum of its proper divisors (3434146).

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

3332264 is a wasteful number, since it uses less digits than its factorization.

3332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 194 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 3332264 is about 1825.4489858662. The cubic root of 3332264 is about 149.3641827919.

Adding to 3332264 its reverse (4622333), we get a palindrome (7954597).

The spelling of 3332264 in words is "three million, three hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 179 358 716 1432 2327 4654 9308 18616 32041 64082 128164 256328 416533 833066 1666132 3332264