Search a number
-
+
430021314 = 23276131393
BaseRepresentation
bin11001101000011…
…001101011000010
31002222011100100100
4121220121223002
51340041140224
6110400503230
713441056312
oct3150315302
91088140310
10430021314
11200810418
1210001ab16
136b1231a8
144117b442
1527b43ac9
hex19a19ac2

430021314 has 24 divisors (see below), whose sum is σ = 932966892. Its totient is φ = 143147520.

The previous prime is 430021313. The next prime is 430021321. The reversal of 430021314 is 413120034.

It can be written as a sum of positive squares in 2 ways, for example, as 429857289 + 164025 = 20733^2 + 405^2 .

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 (430021313) 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, 1999 + ... + 29394.

Almost surely, 2430021314 is an apocalyptic number.

430021314 is an abundant number, since it is smaller than the sum of its proper divisors (502945578).

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

430021314 is a wasteful number, since it uses less digits than its factorization.

430021314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32162 (or 32159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430021314 is about 20736.9552731350. The cubic root of 430021314 is about 754.7967021305.

Adding to 430021314 its reverse (413120034), we get a palindrome (843141348).

The spelling of 430021314 in words is "four hundred thirty million, twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 761 1522 2283 4566 6849 13698 31393 62786 94179 188358 282537 565074 23890073 47780146 71670219 143340438 215010657 430021314