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240313032 = 233211329537
BaseRepresentation
bin11100101001011…
…10001011001000
3121202012011111200
432110232023020
5443010004112
635502424200
75645425041
oct1624561310
9552164450
10240313032
11113717813
1268592060
133aa3047b
1423cb78c8
151616dcdc
hexe52e2c8

240313032 has 48 divisors (see below), whose sum is σ = 656629740. Its totient is φ = 79392768.

The previous prime is 240313001. The next prime is 240313043. The reversal of 240313032 is 230313042.

It can be written as a sum of positive squares in 2 ways, for example, as 140991876 + 99321156 = 11874^2 + 9966^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 240312996 and 240313014.

It is an unprimeable number.

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, 6633 + ... + 22904.

Almost surely, 2240313032 is an apocalyptic number.

It is an amenable number.

240313032 is an abundant number, since it is smaller than the sum of its proper divisors (416316708).

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

240313032 is a wasteful number, since it uses less digits than its factorization.

240313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29662 (or 29655 counting only the distinct ones).

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

The square root of 240313032 is about 15502.0331569765. The cubic root of 240313032 is about 621.7165680326.

Adding to 240313032 its reverse (230313042), we get a palindrome (470626074).

The spelling of 240313032 in words is "two hundred forty million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 29537 59074 88611 118148 177222 236296 265833 354444 531666 708888 1063332 2126664 3337681 6675362 10013043 13350724 20026086 26701448 30039129 40052172 60078258 80104344 120156516 240313032