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331445988 = 223229734349
BaseRepresentation
bin10011110000010…
…111011011100100
3212002200012102100
4103300113123210
51134322232423
652520012100
711133146556
oct2360273344
9762605370
10331445988
11160102305
1293001030
135388acb3
143203b4d6
151e171343
hex13c176e4

331445988 has 72 divisors (see below), whose sum is σ = 878787000. Its totient is φ = 105186816.

The previous prime is 331445987. The next prime is 331446023. The reversal of 331445988 is 889544133.

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 326597184 = 2202^2 + 18072^2 .

It is a super-2 number, since 2×3314459882 = 219712885922592288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331445981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74038 + ... + 78386.

It is an arithmetic number, because the mean of its divisors is an integer number (12205375).

Almost surely, 2331445988 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 331445988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439393500).

331445988 is an abundant number, since it is smaller than the sum of its proper divisors (547341012).

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

331445988 is a wasteful number, since it uses less digits than its factorization.

331445988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4456 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 331445988 is about 18205.6581314711. The cubic root of 331445988 is about 692.0501845837.

The spelling of 331445988 in words is "three hundred thirty-one million, four hundred forty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 438 522 657 876 1044 1314 2117 2628 4234 4349 6351 8468 8698 12702 13047 17396 19053 25404 26094 38106 39141 52188 76212 78282 126121 156564 252242 317477 378363 504484 634954 756726 952431 1135089 1269908 1513452 1904862 2270178 2857293 3809724 4540356 5714586 9206833 11429172 18413666 27620499 36827332 55240998 82861497 110481996 165722994 331445988