Search a number
-
+
325013312 = 26131133457
BaseRepresentation
bin10011010111110…
…100111101000000
3211122120101110002
4103113310331000
51131200411222
652130055132
711024365451
oct2327647500
9748511402
10325013312
11157509348
1290a1a4a8
1352448090
1431245128
151d800392
hex135f4f40

325013312 has 56 divisors (see below), whose sum is σ = 700908936. Its totient is φ = 148635648.

The previous prime is 325013287. The next prime is 325013371. The reversal of 325013312 is 213310523.

It can be written as a sum of positive squares in 4 ways, for example, as 64384576 + 260628736 = 8024^2 + 16144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92288 + ... + 95744.

It is an arithmetic number, because the mean of its divisors is an integer number (12516231).

Almost surely, 2325013312 is an apocalyptic number.

325013312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350454468).

325013312 is an abundant number, since it is smaller than the sum of its proper divisors (375895624).

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

325013312 is a wasteful number, since it uses less digits than its factorization.

325013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 325013312 is about 18028.1255819899. The cubic root of 325013312 is about 687.5438205457.

Adding to 325013312 its reverse (213310523), we get a palindrome (538323835).

The spelling of 325013312 in words is "three hundred twenty-five million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 832 904 1469 1808 2938 3457 3616 5876 6914 7232 11752 13828 23504 27656 44941 47008 55312 89882 94016 110624 179764 221248 359528 390641 719056 781282 1438112 1562564 2876224 3125128 5078333 6250256 10156666 12500512 20313332 25001024 40626664 81253328 162506656 325013312