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330286968 = 2332111014129
BaseRepresentation
bin10011101011111…
…100011101111000
3212000111022112200
4103223330131320
51134023140333
652435110200
711120251524
oct2353743570
9760438480
10330286968
1115a490540
1292742360
135357359b
1431c18d84
151dee2c13
hex13afc778

330286968 has 96 divisors (see below), whose sum is σ = 985748400. Its totient is φ = 99072000.

The previous prime is 330286949. The next prime is 330286973. The reversal of 330286968 is 869682033.

330286968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77928 + ... + 82056.

Almost surely, 2330286968 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 330286968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492874200).

330286968 is an abundant number, since it is smaller than the sum of its proper divisors (655461432).

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

330286968 is a wasteful number, since it uses less digits than its factorization.

330286968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 330286968 is about 18173.7989424336. The cubic root of 330286968 is about 691.2425751006.

The spelling of 330286968 in words is "three hundred thirty million, two hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1818 2222 2424 3333 3636 4129 4444 6666 7272 8258 8888 9999 12387 13332 16516 19998 24774 26664 33032 37161 39996 45419 49548 74322 79992 90838 99096 136257 148644 181676 272514 297288 363352 408771 417029 545028 817542 834058 1090056 1251087 1635084 1668116 2502174 3270168 3336232 3753261 4587319 5004348 7506522 9174638 10008696 13761957 15013044 18349276 27523914 30026088 36698552 41285871 55047828 82571742 110095656 165143484 330286968