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328969272 = 233293179193
BaseRepresentation
bin10011100110111…
…010110000111000
3211221000101000010
4103212322300320
51133204004042
652350541520
711103123042
oct2346726070
9757011003
10328969272
11159770535
12922078a0
1353201898
1431994a92
151dd3259c
hex139bac38

328969272 has 128 divisors (see below), whose sum is σ = 893952000. Its totient is φ = 100638720.

The previous prime is 328969271. The next prime is 328969273. The reversal of 328969272 is 272969823.

It is an interprime number because it is at equal distance from previous prime (328969271) and next prime (328969273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328969271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704408 + ... + 1704600.

It is an arithmetic number, because the mean of its divisors is an integer number (6984000).

Almost surely, 2328969272 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 328969272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446976000).

328969272 is an abundant number, since it is smaller than the sum of its proper divisors (564982728).

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

328969272 is a wasteful number, since it uses less digits than its factorization.

328969272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 328969272 is about 18137.5100826988. The cubic root of 328969272 is about 690.3221012432.

The spelling of 328969272 in words is "three hundred twenty-eight million, nine hundred sixty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 79 87 93 116 124 158 174 186 193 232 237 248 316 348 372 386 474 579 632 696 744 772 899 948 1158 1544 1798 1896 2291 2316 2449 2697 3596 4582 4632 4898 5394 5597 5983 6873 7192 7347 9164 9796 10788 11194 11966 13746 14694 15247 16791 17949 18328 19592 21576 22388 23932 27492 29388 30494 33582 35898 44776 45741 47864 54984 58776 60988 67164 71021 71796 91482 121976 134328 142042 143592 173507 182964 213063 284084 347014 365928 426126 442163 472657 520521 568168 694028 852252 884326 945314 1041042 1326489 1388056 1417971 1704504 1768652 1890628 2082084 2652978 2835942 3537304 3781256 4164168 5305956 5671884 10611912 11343768 13707053 27414106 41121159 54828212 82242318 109656424 164484636 328969272