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252730314 = 23341211541
BaseRepresentation
bin11110001000001…
…01101111001010
3122121120000211000
433010011233022
51004144332224
641024515430
76156113034
oct1704055712
9577500730
10252730314
1111a729031
127077bb76
134048a385
14257cac54
15172c30c9
hexf105bca

252730314 has 64 divisors (see below), whose sum is σ = 579116160. Its totient is φ = 81648000.

The previous prime is 252730301. The next prime is 252730319. The reversal of 252730314 is 413037252.

252730314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2527303142 = 127745223229077192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252730319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466884 + ... + 467424.

It is an arithmetic number, because the mean of its divisors is an integer number (9048690).

Almost surely, 2252730314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252730314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289558080).

252730314 is an abundant number, since it is smaller than the sum of its proper divisors (326385846).

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

252730314 is a wasteful number, since it uses less digits than its factorization.

252730314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252730314 is about 15897.4939534507. The cubic root of 252730314 is about 632.2455466450.

Adding to 252730314 its reverse (413037252), we get a palindrome (665767566).

The spelling of 252730314 in words is "two hundred fifty-two million, seven hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 211 246 369 422 541 633 738 1082 1107 1266 1623 1899 2214 3246 3798 4869 5697 8651 9738 11394 14607 17302 22181 25953 29214 44362 51906 66543 77859 114151 133086 155718 199629 228302 233577 342453 399258 467154 598887 684906 1027359 1197774 2054718 3082077 4680191 6164154 9360382 14040573 28081146 42121719 84243438 126365157 252730314