Search a number
3225264 = 243729331
BaseRepresentation
bin1100010011011010110000
320001212020020
430103122300
51311202024
6153043440
736262050
oct14233260
96055206
103225264
111903209
1210b6580
1388c053
145dd560
1543a979
hex3136b0

3225264 has 80 divisors (see below), whose sum is σ = 9880320. Its totient is φ = 887040.

The previous prime is 3225259. The next prime is 3225283. The reversal of 3225264 is 4625223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 34 + 2 + 25 + 57 + 221 + 64 + 410 .

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, 9579 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (123504).

Almost surely, 23225264 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 3225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940160).

3225264 is an abundant number, since it is smaller than the sum of its proper divisors (6655056).

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

3225264 is a wasteful number, since it uses less digits than its factorization.

3225264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 3225264 is about 1795.9020017807. The cubic root of 3225264 is about 147.7480495389.

The spelling of 3225264 in words is "three million, two hundred twenty-five thousand, two hundred sixty-four".