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330809780 = 22574832
BaseRepresentation
bin10011101101111…
…100000110110100
3212001110212201002
4103231330012310
51134141403110
652454222432
711124560000
oct2355740664
9761425632
10330809780
1115a808314
1292954a18
13536c7542
1431d13700
151e097aa5
hex13b7c1b4

330809780 has 90 divisors (see below), whose sum is σ = 820317666. Its totient is φ = 112053984.

The previous prime is 330809761. The next prime is 330809821. The reversal of 330809780 is 87908033.

330809780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 264647824 + 66161956 = 16268^2 + 8134^2 .

It is a super-2 number, since 2×3308097802 = 218870221087296800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3985619 + ... + 3985701.

Almost surely, 2330809780 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 330809780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410158833).

330809780 is an abundant number, since it is smaller than the sum of its proper divisors (489507886).

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

330809780 is an frugal number, since it uses more digits than its factorization.

330809780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 330809780 is about 18188.1769289833. The cubic root of 330809780 is about 691.6071059824.

The spelling of 330809780 in words is "three hundred thirty million, eight hundred nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 343 415 490 581 686 830 980 1162 1372 1660 1715 2324 2401 2905 3430 4067 4802 5810 6860 6889 8134 9604 11620 12005 13778 16268 20335 24010 27556 28469 34445 40670 48020 48223 56938 68890 81340 96446 113876 137780 142345 192892 199283 241115 284690 337561 398566 482230 569380 675122 797132 964460 996415 1350244 1687805 1992830 2362927 3375610 3985660 4725854 6751220 9451708 11814635 16540489 23629270 33080978 47258540 66161956 82702445 165404890 330809780