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331342320 = 243541151223
BaseRepresentation
bin10011101111111…
…110000111110000
3212002110221012210
4103233332013300
51134310423240
652513452120
711132235411
oct2357760760
9762427183
10331342320
11160041431
1292b71040
1353852a5a
1432011808
151e150780
hex13bfe1f0

331342320 has 160 divisors (see below), whose sum is σ = 1063931904. Its totient is φ = 85248000.

The previous prime is 331342259. The next prime is 331342321. The reversal of 331342320 is 23243133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331342321) 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, 1485729 + ... + 1485951.

Almost surely, 2331342320 is an apocalyptic number.

331342320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531965952).

331342320 is an abundant number, since it is smaller than the sum of its proper divisors (732589584).

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

331342320 is a wasteful number, since it uses less digits than its factorization.

331342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 331342320 is about 18202.8107719660. The cubic root of 331342320 is about 691.9780250743.

Adding to 331342320 its reverse (23243133), we get a palindrome (354585453).

The spelling of 331342320 in words is "three hundred thirty-one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 151 164 205 223 240 246 302 328 410 446 453 492 604 615 656 669 755 820 892 906 984 1115 1208 1230 1338 1510 1640 1784 1812 1968 2230 2265 2416 2460 2676 3020 3280 3345 3568 3624 4460 4530 4920 5352 6040 6191 6690 7248 8920 9060 9143 9840 10704 12080 12382 13380 17840 18120 18286 18573 24764 26760 27429 30955 33673 36240 36572 37146 45715 49528 53520 54858 61910 67346 73144 74292 91430 92865 99056 101019 109716 123820 134692 137145 146288 148584 168365 182860 185730 202038 219432 247640 269384 274290 297168 336730 365720 371460 404076 438864 495280 505095 538768 548580 673460 731440 742920 808152 1010190 1097160 1346920 1380593 1485840 1616304 2020380 2194320 2693840 2761186 4040760 4141779 5522372 6902965 8081520 8283558 11044744 13805930 16567116 20708895 22089488 27611860 33134232 41417790 55223720 66268464 82835580 110447440 165671160 331342320