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325468672 = 291761613
BaseRepresentation
bin10011011001100…
…100001000000000
3211200102112002021
4103121210020000
51131304444142
652143531224
711031303154
oct2331441000
9750375067
10325468672
1115779a481
1290bb9b14
1352577419
1431323064
151d890267
hex13664200

325468672 has 80 divisors (see below), whose sum is σ = 700984152. Its totient is φ = 150405120.

The previous prime is 325468669. The next prime is 325468681. The reversal of 325468672 is 276864523.

325468672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122235136 + 203233536 = 11056^2 + 14256^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 530638 + ... + 531250.

Almost surely, 2325468672 is an apocalyptic number.

325468672 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 325468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350492076).

325468672 is an abundant number, since it is smaller than the sum of its proper divisors (375515480).

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

325468672 is an equidigital number, since it uses as much as digits as its factorization.

325468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 325468672 is about 18040.7503169907. The cubic root of 325468672 is about 687.8647651990.

The spelling of 325468672 in words is "three hundred twenty-five million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 512 544 613 976 1037 1088 1226 1952 2074 2176 2452 3904 4148 4352 4904 7808 8296 8704 9808 10421 15616 16592 19616 20842 31232 33184 37393 39232 41684 66368 74786 78464 83368 132736 149572 156928 166736 265472 299144 313856 333472 530944 598288 635681 666944 1196576 1271362 1333888 2393152 2542724 2667776 4786304 5085448 5335552 9572608 10170896 19145216 20341792 40683584 81367168 162734336 325468672