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320335104 = 2831732411
BaseRepresentation
bin10011000101111…
…110110100000000
3211022202201011010
4103011332310000
51124001210404
651441520520
710636542405
oct2305766400
9738681133
10320335104
11154903561
128b343140
135149a8cb
14307882ac
151d1c9189
hex1317ed00

320335104 has 72 divisors (see below), whose sum is σ = 857842272. Its totient is φ = 106117120.

The previous prime is 320335087. The next prime is 320335123. The reversal of 320335104 is 401533023.

320335104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3203351042 = 205229157709381632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131659 + ... + 134069.

It is an arithmetic number, because the mean of its divisors is an integer number (11914476).

Almost surely, 2320335104 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 320335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428921136).

320335104 is an abundant number, since it is smaller than the sum of its proper divisors (537507168).

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

320335104 is a wasteful number, since it uses less digits than its factorization.

320335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 320335104 is about 17897.9078106912. The cubic root of 320335104 is about 684.2290536181.

Adding to 320335104 its reverse (401533023), we get a palindrome (721868127).

The spelling of 320335104 in words is "three hundred twenty million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2411 2768 4152 4822 5536 7233 8304 9644 11072 14466 16608 19288 22144 28932 33216 38576 44288 57864 66432 77152 115728 132864 154304 231456 308608 417103 462912 617216 834206 925824 1251309 1668412 1851648 2502618 3336824 5005236 6673648 10010472 13347296 20020944 26694592 40041888 53389184 80083776 106778368 160167552 320335104