Search a number
-
+
3332864 = 2847277
BaseRepresentation
bin1100101101101100000000
320021022211102
430231230000
51323122424
6155233532
740220543
oct14555400
96238742
103332864
111977037
1211488a8
138c9012
1462a85a
1545c7ae
hex32db00

3332864 has 36 divisors (see below), whose sum is σ = 6818784. Its totient is φ = 1625088.

The previous prime is 3332863. The next prime is 3332869. The reversal of 3332864 is 4682333.

It is a super-2 number, since 2×33328642 = 22215964884992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11894 + ... + 12170.

Almost surely, 23332864 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 3332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409392).

3332864 is an abundant number, since it is smaller than the sum of its proper divisors (3485920).

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

3332864 is an equidigital number, since it uses as much as digits as its factorization.

3332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 3332864 is about 1825.6133215991. The cubic root of 3332864 is about 149.3731469807.

The spelling of 3332864 in words is "three million, three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 277 376 554 752 1108 1504 2216 3008 4432 6016 8864 12032 13019 17728 26038 35456 52076 70912 104152 208304 416608 833216 1666432 3332864