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204312330 = 23252270137
BaseRepresentation
bin11000010110110…
…00111100001010
3112020110010211100
430023120330022
5404300443310
632135042230
75030424525
oct1413307412
9466403740
10204312330
11a5368972
1258510376
1333437091
141d1c5bbc
1512e0bec0
hexc2d8f0a

204312330 has 24 divisors (see below), whose sum is σ = 531212292. Its totient is φ = 54483264.

The previous prime is 204312323. The next prime is 204312331. The reversal of 204312330 is 33213402.

204312330 is a `hidden beast` number, since 2 + 0 + 431 + 233 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174794841 + 29517489 = 13221^2 + 5433^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204312331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134979 + ... + 1135158.

Almost surely, 2204312330 is an apocalyptic number.

204312330 is an abundant number, since it is smaller than the sum of its proper divisors (326899962).

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

204312330 is a wasteful number, since it uses less digits than its factorization.

204312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270150 (or 2270147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 204312330 is about 14293.7864122842. The cubic root of 204312330 is about 588.9768055257.

Adding to 204312330 its reverse (33213402), we get a palindrome (237525732).

The spelling of 204312330 in words is "two hundred four million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2270137 4540274 6810411 11350685 13620822 20431233 22701370 34052055 40862466 68104110 102156165 204312330