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330013300 = 22523300133
BaseRepresentation
bin10011101010111…
…001101001110100
3211222222102010211
4103222321221310
51133440411200
652425155204
711115031621
oct2352715164
9758872124
10330013300
1115a313971
129262bb04
13534a8b56
1431b87348
151de8baba
hex13ab9a74

330013300 has 18 divisors (see below), whose sum is σ = 716129078. Its totient is φ = 132005280.

The previous prime is 330013297. The next prime is 330013319. The reversal of 330013300 is 3310033.

It can be written as a sum of positive squares in 3 ways, for example, as 61905424 + 268107876 = 7868^2 + 16374^2 .

It is a super-4 number, since 4×3300133004 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1649967 + ... + 1650166.

Almost surely, 2330013300 is an apocalyptic number.

It is an amenable number.

330013300 is an abundant number, since it is smaller than the sum of its proper divisors (386115778).

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

330013300 is a wasteful number, since it uses less digits than its factorization.

330013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300147 (or 3300140 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 330013300 is about 18166.2681913485. The cubic root of 330013300 is about 691.0516065763.

Adding to 330013300 its reverse (3310033), we get a palindrome (333323333).

The spelling of 330013300 in words is "three hundred thirty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3300133 6600266 13200532 16500665 33001330 66002660 82503325 165006650 330013300