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252314340 = 223517214551
BaseRepresentation
bin11110000101000…
…00001011100100
3122120202220012120
433002200023210
51004043024330
641011545540
76152431215
oct1702401344
9576686176
10252314340
1111a474553
12705bb2b0
1340372c35
142571d40c
151723ec10
hexf0a02e4

252314340 has 72 divisors (see below), whose sum is σ = 750533952. Its totient is φ = 63321600.

The previous prime is 252314327. The next prime is 252314341. The reversal of 252314340 is 43413252.

It is a self number, because there is not a number n which added to its sum of digits gives 252314340.

It is not an unprimeable number, because it can be changed into a prime (252314341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10065 + ... + 24615.

Almost surely, 2252314340 is an apocalyptic number.

252314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375266976).

252314340 is an abundant number, since it is smaller than the sum of its proper divisors (498219612).

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

252314340 is a wasteful number, since it uses less digits than its factorization.

252314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 252314340 is about 15884.4055601713. The cubic root of 252314340 is about 631.8984808630.

Adding to 252314340 its reverse (43413252), we get a palindrome (295727592).

The spelling of 252314340 in words is "two hundred fifty-two million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 14551 17340 29102 43653 58204 72755 87306 145510 174612 218265 247367 291020 436530 494734 742101 873060 989468 1236835 1484202 2473670 2968404 3710505 4205239 4947340 7421010 8410478 12615717 14842020 16820956 21026195 25231434 42052390 50462868 63078585 84104780 126157170 252314340