Search a number
-
+
325661568 = 2733722921
BaseRepresentation
bin10011011010010…
…011001110000000
3211200210022200120
4103122103032000
51131332132233
652152020240
711033035431
oct2332231600
9750708616
10325661568
111579113a1
1291091680
135261416b
1431373488
151d8cc4b3
hex13693380

325661568 has 64 divisors (see below), whose sum is σ = 888456720. Its totient is φ = 105615360.

The previous prime is 325661563. The next prime is 325661597. The reversal of 325661568 is 865166523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325661563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2748 + ... + 25668.

Almost surely, 2325661568 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 325661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444228360).

325661568 is an abundant number, since it is smaller than the sum of its proper divisors (562795152).

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

325661568 is a wasteful number, since it uses less digits than its factorization.

325661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22975 (or 22963 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 325661568 is about 18046.0956442107. The cubic root of 325661568 is about 688.0006309711. Note that the first 3 decimals are identical.

The spelling of 325661568 in words is "three hundred twenty-five million, six hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 22921 45842 68763 91684 137526 183368 275052 366736 550104 733472 848077 1100208 1466944 1696154 2200416 2544231 2933888 3392308 4400832 5088462 6784616 8801664 10176924 13569232 20353848 27138464 40707696 54276928 81415392 108553856 162830784 325661568