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330767680 = 2652414289
BaseRepresentation
bin10011101101110…
…001110101000000
3212001101201221211
4103231301311000
51134134031210
652453255504
711124323155
oct2355616500
9761351854
10330767680
1115a789721
1292934594
13536b1329
1431d0222c
151e08a38a
hex13b71d40

330767680 has 56 divisors (see below), whose sum is σ = 791093160. Its totient is φ = 131727360.

The previous prime is 330767659. The next prime is 330767683. The reversal of 330767680 is 86767033.

It can be written as a sum of positive squares in 4 ways, for example, as 145154304 + 185613376 = 12048^2 + 13624^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330767683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74976 + ... + 79264.

Almost surely, 2330767680 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 330767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395546580).

330767680 is an abundant number, since it is smaller than the sum of its proper divisors (460325480).

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

330767680 is a wasteful number, since it uses less digits than its factorization.

330767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 330767680 is about 18187.0195469186. The cubic root of 330767680 is about 691.5777659647.

The spelling of 330767680 in words is "three hundred thirty million, seven hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1928 2410 3856 4289 4820 7712 8578 9640 15424 17156 19280 21445 34312 38560 42890 68624 77120 85780 137248 171560 274496 343120 686240 1033649 1372480 2067298 4134596 5168245 8269192 10336490 16538384 20672980 33076768 41345960 66153536 82691920 165383840 330767680