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430248 = 233713197
BaseRepresentation
bin1101001000010101000
3210212012010
41221002220
5102231443
613115520
73441240
oct1510250
9725163
10430248
11274285
12188ba0
13120ab0
14b2b20
1587733
hex690a8

430248 has 64 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 112896.

The previous prime is 430193. The next prime is 430259. The reversal of 430248 is 842034.

It is a happy number.

430248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4302482 = 370226683008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 430248.

It is an unprimeable number.

430248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2430248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

430248 is an abundant number, since it is smaller than the sum of its proper divisors (900312).

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

430248 is a wasteful number, since it uses less digits than its factorization.

430248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 430248 is about 655.9329233999. The cubic root of 430248 is about 75.4929309347.

The spelling of 430248 in words is "four hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 197 273 312 364 394 546 591 728 788 1092 1182 1379 1576 2184 2364 2561 2758 4137 4728 5122 5516 7683 8274 10244 11032 15366 16548 17927 20488 30732 33096 35854 53781 61464 71708 107562 143416 215124 430248