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331300242 = 232713257787
BaseRepresentation
bin10011101111110…
…011110110010010
3212002101210111100
4103233303312102
51134303101432
652512525230
711132001630
oct2357636622
9762353440
10331300242
11160012859
1292b50816
1353839860
1432000350
151e14307c
hex13bf3d92

331300242 has 96 divisors (see below), whose sum is σ = 888031872. Its totient is φ = 86925312.

The previous prime is 331300237. The next prime is 331300243. The reversal of 331300242 is 242003133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331300243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420573 + ... + 421359.

It is an arithmetic number, because the mean of its divisors is an integer number (9250332).

Almost surely, 2331300242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331300242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444015936).

331300242 is an abundant number, since it is smaller than the sum of its proper divisors (556731630).

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

331300242 is a wasteful number, since it uses less digits than its factorization.

331300242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331300242 is about 18201.6549247589. The cubic root of 331300242 is about 691.9487318205.

Adding to 331300242 its reverse (242003133), we get a palindrome (573303375).

The spelling of 331300242 in words is "three hundred thirty-one million, three hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 257 273 514 546 771 787 819 1542 1574 1638 1799 2313 2361 3341 3598 4626 4722 5397 5509 6682 7083 10023 10231 10794 11018 14166 16191 16527 20046 20462 23387 30069 30693 32382 33054 46774 49581 60138 61386 70161 71617 92079 99162 140322 143234 184158 202259 210483 214851 404518 420966 429702 606777 644553 1213554 1289106 1415813 1820331 2629367 2831626 3640662 4247439 5258734 7888101 8494878 12742317 15776202 18405569 23664303 25484634 36811138 47328606 55216707 110433414 165650121 331300242