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330329020 = 22577929867
BaseRepresentation
bin10011101100000…
…110101110111100
3212000120110020011
4103230012232330
51134031012040
652440033004
711120515240
oct2354065674
9760513204
10330329020
1115a50a09a
1292762764
1353589778
1431c2a420
151e0003ea
hex13b06bbc

330329020 has 48 divisors (see below), whose sum is σ = 802851840. Its totient is φ = 111818304.

The previous prime is 330328987. The next prime is 330329029. The reversal of 330329020 is 20923033.

It is a super-2 number, since 2×3303290202 = 218234522908320800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330328982 and 330329000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330329029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874 + ... + 25993.

It is an arithmetic number, because the mean of its divisors is an integer number (16726080).

Almost surely, 2330329020 is an apocalyptic number.

It is an amenable number.

330329020 is an abundant number, since it is smaller than the sum of its proper divisors (472522820).

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

330329020 is a wasteful number, since it uses less digits than its factorization.

330329020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29962 (or 29960 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 330329020 is about 18174.9558458886. The cubic root of 330329020 is about 691.2719100952.

It can be divided in two parts, 3303 and 29020, that added together give a palindrome (32323).

The spelling of 330329020 in words is "three hundred thirty million, three hundred twenty-nine thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 29867 59734 119468 149335 209069 298670 418138 597340 836276 1045345 2090690 2359493 4181380 4718986 9437972 11797465 16516451 23594930 33032902 47189860 66065804 82582255 165164510 330329020