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328433248 = 25111325521
BaseRepresentation
bin10011100100110…
…111111001100000
3211220000010201101
4103210313321200
51133034330443
652331244144
711065431223
oct2344677140
9756003641
10328433248
11159434840
1291ba9654
1353074900
14318955ba
151dc7884d
hex13937e60

328433248 has 72 divisors (see below), whose sum is σ = 763957656. Its totient is φ = 137779200.

The previous prime is 328433243. The next prime is 328433267. The reversal of 328433248 is 842334823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328433243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56728 + ... + 62248.

It is an arithmetic number, because the mean of its divisors is an integer number (10610523).

Almost surely, 2328433248 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 328433248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381978828).

328433248 is an abundant number, since it is smaller than the sum of its proper divisors (435524408).

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

328433248 is a wasteful number, since it uses less digits than its factorization.

328433248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5547 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 328433248 is about 18122.7273885583. The cubic root of 328433248 is about 689.9469594459.

The spelling of 328433248 in words is "three hundred twenty-eight million, four hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4576 5408 5521 7436 11042 14872 22084 29744 44168 59488 60731 71773 88336 121462 143546 176672 242924 287092 485848 574184 789503 933049 971696 1148368 1579006 1866098 1943392 2296736 3158012 3732196 6316024 7464392 10263539 12632048 14928784 20527078 25264096 29857568 41054156 82108312 164216624 328433248