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331474248 = 233372111039
BaseRepresentation
bin10011110000011…
…110010101001000
3212002201122012000
4103300132111020
51134324133443
652520351000
711133325140
oct2360362510
9762648160
10331474248
11160121566
1293015460
135389ab11
1432047920
151e1798d3
hex13c1e548

331474248 has 128 divisors (see below), whose sum is σ = 1058304000. Its totient is φ = 94167360.

The previous prime is 331474207. The next prime is 331474271. The reversal of 331474248 is 842474133.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 31 ways as a sum of consecutive naturals, for example, 318513 + ... + 319551.

It is an arithmetic number, because the mean of its divisors is an integer number (8268000).

Almost surely, 2331474248 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 331474248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529152000).

331474248 is an abundant number, since it is smaller than the sum of its proper divisors (726829752).

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

331474248 is a wasteful number, since it uses less digits than its factorization.

331474248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1262 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 331474248 is about 18206.4342472654. The cubic root of 331474248 is about 692.0698527279.

The spelling of 331474248 in words is "three hundred thirty-one million, four hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 211 216 252 378 422 504 633 756 844 1039 1266 1477 1512 1688 1899 2078 2532 2954 3117 3798 4156 4431 5064 5697 5908 6234 7273 7596 8312 8862 9351 11394 11816 12468 13293 14546 15192 17724 18702 21819 22788 24936 26586 28053 29092 35448 37404 39879 43638 45576 53172 56106 58184 65457 74808 79758 87276 106344 112212 130914 159516 174552 196371 219229 224424 261828 319032 392742 438458 523656 657687 785484 876916 1315374 1534603 1570968 1753832 1973061 2630748 3069206 3946122 4603809 5261496 5919183 6138412 7892244 9207618 11838366 12276824 13811427 15784488 18415236 23676732 27622854 36830472 41434281 47353464 55245708 82868562 110491416 165737124 331474248