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240305312 = 25131930403
BaseRepresentation
bin11100101001011…
…00010010100000
3121202011202220202
432110230102200
5443004232222
635502324332
75645363402
oct1624542240
9552152822
10240305312
11113711a35
12685896a8
133aa29ac0
1423cb4b72
151616b892
hexe52c4a0

240305312 has 48 divisors (see below), whose sum is σ = 536326560. Its totient is φ = 105069312.

The previous prime is 240305287. The next prime is 240305323. The reversal of 240305312 is 213503042.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7298 + ... + 23105.

It is an arithmetic number, because the mean of its divisors is an integer number (11173470).

Almost surely, 2240305312 is an apocalyptic number.

It is an amenable number.

240305312 is an abundant number, since it is smaller than the sum of its proper divisors (296021248).

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

240305312 is a wasteful number, since it uses less digits than its factorization.

240305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30445 (or 30437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 240305312 is about 15501.7841553803. The cubic root of 240305312 is about 621.7099104614.

Adding to 240305312 its reverse (213503042), we get a palindrome (453808354).

The spelling of 240305312 in words is "two hundred forty million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 30403 60806 121612 243224 395239 486448 577657 790478 972896 1155314 1580956 2310628 3161912 4621256 6323824 7509541 9242512 12647648 15019082 18485024 30038164 60076328 120152656 240305312