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328199328 = 25322349547
BaseRepresentation
bin10011100011111…
…110110010100000
3211212120020211200
4103203332302200
51133004334303
652322241200
711063435232
oct2343766240
9755506750
10328199328
11159295016
1291ab6200
1352cc22b2
1431834252
151dc2e3a3
hex138feca0

328199328 has 72 divisors (see below), whose sum is σ = 973915488. Its totient is φ = 104641152.

The previous prime is 328199323. The next prime is 328199329. The reversal of 328199328 is 823991823.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (328199321) 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, 18150 + ... + 31397.

It is an arithmetic number, because the mean of its divisors is an integer number (13526604).

Almost surely, 2328199328 is an apocalyptic number.

It is an amenable number.

328199328 is an abundant number, since it is smaller than the sum of its proper divisors (645716160).

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

328199328 is a wasteful number, since it uses less digits than its factorization.

328199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49586 (or 49575 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 328199328 is about 18116.2724642792. The cubic root of 328199328 is about 689.7831202436.

The spelling of 328199328 in words is "three hundred twenty-eight million, one hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 49547 99094 148641 198188 297282 396376 445923 594564 792752 891846 1139581 1189128 1585504 1783692 2279162 2378256 3418743 3567384 4558324 4756512 6837486 7134768 9116648 10256229 13674972 14269536 18233296 20512458 27349944 36466592 41024916 54699888 82049832 109399776 164099664 328199328