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3264320 = 2651012
BaseRepresentation
bin1100011100111101000000
320010211210202
430130331000
51313424240
6153544332
736513653
oct14347500
96124722
103264320
11192a594
1211150a8
138a3a67
1460d89a
15447315
hex31cf40

3264320 has 42 divisors (see below), whose sum is σ = 7850886. Its totient is φ = 1292800.

The previous prime is 3264319. The next prime is 3264343. The reversal of 3264320 is 234623.

It can be written as a sum of positive squares in 3 ways, for example, as 2027776 + 1236544 = 1424^2 + 1112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3264292 and 3264301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32270 + ... + 32370.

Almost surely, 23264320 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 3264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925443).

3264320 is an abundant number, since it is smaller than the sum of its proper divisors (4586566).

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

3264320 is an equidigital number, since it uses as much as digits as its factorization.

3264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3264320 is about 1806.7429258198. The cubic root of 3264320 is about 148.3420382329.

Multiplying 3264320 by its sum of digits (20), we get a square (65286400 = 80802).

3264320 divided by its sum of digits (20) gives a square (163216 = 4042).

Adding to 3264320 its reverse (234623), we get a palindrome (3498943).

The spelling of 3264320 in words is "three million, two hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3232 4040 6464 8080 10201 16160 20402 32320 40804 51005 81608 102010 163216 204020 326432 408040 652864 816080 1632160 3264320