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424830 = 23572172
BaseRepresentation
bin1100111101101111110
3210120202110
41213231332
5102043310
613034450
73416400
oct1475576
9716673
10424830
112701aa
12185a26
1311b4a3
14b0b70
1585d20
hex67b7e

424830 has 72 divisors (see below), whose sum is σ = 1259928. Its totient is φ = 91392.

The previous prime is 424829. The next prime is 424841. The reversal of 424830 is 38424.

It is a happy number.

424830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 424797 and 424806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24982 + ... + 24998.

It is an arithmetic number, because the mean of its divisors is an integer number (17499).

2424830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629964).

424830 is an abundant number, since it is smaller than the sum of its proper divisors (835098).

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

424830 is a wasteful number, since it uses less digits than its factorization.

424830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

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

The square root of 424830 is about 651.7898434311. The cubic root of 424830 is about 75.1747038427.

It can be divided in two parts, 4248 and 30, that added together give a triangular number (4278 = T92).

The spelling of 424830 in words is "four hundred twenty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 289 294 357 490 510 578 595 714 735 833 867 1190 1445 1470 1666 1734 1785 2023 2499 2890 3570 4046 4165 4335 4998 6069 8330 8670 10115 12138 12495 14161 20230 24990 28322 30345 42483 60690 70805 84966 141610 212415 424830