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309330680 = 235231013329
BaseRepresentation
bin10010011100000…
…000001011111000
3210120001121220212
4102130000023320
51113142040210
650410010252
710444160501
oct2234001370
9716047825
10309330680
1114967779a
1287716988
134c116b09
142d121ba8
151c253805
hex127002f8

309330680 has 64 divisors (see below), whose sum is σ = 733665600. Its totient is φ = 117145600.

The previous prime is 309330677. The next prime is 309330683. The reversal of 309330680 is 86033903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (309330677) and next prime (309330683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309330683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91256 + ... + 94584.

It is an arithmetic number, because the mean of its divisors is an integer number (11463525).

Almost surely, 2309330680 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 309330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366832800).

309330680 is an abundant number, since it is smaller than the sum of its proper divisors (424334920).

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

309330680 is a wasteful number, since it uses less digits than its factorization.

309330680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 309330680 is about 17587.7991801135. The cubic root of 309330680 is about 676.3025092392.

The spelling of 309330680 in words is "three hundred nine million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 2020 2323 3329 4040 4646 6658 9292 11615 13316 16645 18584 23230 26632 33290 46460 66580 76567 92920 133160 153134 306268 336229 382835 612536 672458 765670 1344916 1531340 1681145 2689832 3062680 3362290 6724580 7733267 13449160 15466534 30933068 38666335 61866136 77332670 154665340 309330680