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332992968 = 233711216381
BaseRepresentation
bin10011110110010…
…001000111001000
3212012120210110220
4103312101013020
51140221233333
653013110040
711152251660
oct2366210710
9765523426
10332992968
11160a69600
1293628320
1353cb0179
14323211a0
151e3798b3
hex13d911c8

332992968 has 96 divisors (see below), whose sum is σ = 1045826880. Its totient is φ = 86486400.

The previous prime is 332992937. The next prime is 332992969. The reversal of 332992968 is 869299233.

It is a super-2 number, since 2×3329929682 = 221768633474898048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332992968.

It is not an unprimeable number, because it can be changed into a prime (332992969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12138 + ... + 28518.

It is an arithmetic number, because the mean of its divisors is an integer number (10894030).

Almost surely, 2332992968 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 332992968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522913440).

332992968 is an abundant number, since it is smaller than the sum of its proper divisors (712833912).

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

332992968 is a wasteful number, since it uses less digits than its factorization.

332992968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16419 (or 16404 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 332992968 is about 18248.0949142643. The cubic root of 332992968 is about 693.1251978389.

The spelling of 332992968 in words is "three hundred thirty-two million, nine hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 16381 20328 32762 49143 65524 98286 114667 131048 180191 196572 229334 344001 360382 393144 458668 540573 688002 720764 917336 1081146 1261337 1376004 1441528 1982101 2162292 2522674 2752008 3784011 3964202 4324584 5045348 5946303 7568022 7928404 10090696 11892606 13874707 15136044 15856808 23785212 27749414 30272088 41624121 47570424 55498828 83248242 110997656 166496484 332992968