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331115442 = 23723761499
BaseRepresentation
bin10011101111000…
…110101110110010
3212002001101222220
4103233012232302
51134231143232
652504541510
711130302100
oct2357065662
9762041886
10331115442
1115a9a6a29
1292a81896
13537a36c8
1431d92c70
151e10842c
hex13bc6bb2

331115442 has 96 divisors (see below), whose sum is σ = 805752000. Its totient is φ = 90357120.

The previous prime is 331115441. The next prime is 331115461. The reversal of 331115442 is 244511133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331115441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663309 + ... + 663807.

It is an arithmetic number, because the mean of its divisors is an integer number (8393250).

Almost surely, 2331115442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331115442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402876000).

331115442 is an abundant number, since it is smaller than the sum of its proper divisors (474636558).

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

331115442 is a wasteful number, since it uses less digits than its factorization.

331115442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 331115442 is about 18196.5777551714. The cubic root of 331115442 is about 691.8200510525.

Adding to 331115442 its reverse (244511133), we get a palindrome (575626575).

The spelling of 331115442 in words is "three hundred thirty-one million, one hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 61 74 98 111 122 147 183 222 259 294 366 427 499 518 777 854 998 1281 1497 1554 1813 2257 2562 2989 2994 3493 3626 4514 5439 5978 6771 6986 8967 10479 10878 13542 15799 17934 18463 20958 24451 30439 31598 36926 47397 48902 55389 60878 73353 91317 94794 110593 110778 129241 146706 182634 213073 221186 258482 331779 387723 426146 639219 663558 775446 904687 1126243 1278438 1491511 1809374 2252486 2714061 2983022 3378729 4474533 5428122 6757458 7883701 8949066 15767402 23651103 47302206 55185907 110371814 165557721 331115442