Search a number
-
+
424024230 = 23573136451
BaseRepresentation
bin11001010001100…
…001100010100110
31002112212122220010
4121101201202212
51332022233410
6110024151050
713336101150
oct3121414246
91075778803
10424024230
111a8394753
12ba008486
1369b03616
1440459ad0
152735bc20
hex194618a6

424024230 has 64 divisors (see below), whose sum is σ = 1166934528. Its totient is φ = 96595200.

The previous prime is 424024219. The next prime is 424024241. The reversal of 424024230 is 32420424.

It is an interprime number because it is at equal distance from previous prime (424024219) and next prime (424024241).

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 = 424024197 and 424024206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62505 + ... + 68955.

It is an arithmetic number, because the mean of its divisors is an integer number (18233352).

Almost surely, 2424024230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424024230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583467264).

424024230 is an abundant number, since it is smaller than the sum of its proper divisors (742910298).

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

424024230 is a wasteful number, since it uses less digits than its factorization.

424024230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424024230 is about 20591.8486299798. The cubic root of 424024230 is about 751.2714610754.

Adding to 424024230 its reverse (32420424), we get a palindrome (456444654).

The spelling of 424024230 in words is "four hundred twenty-four million, twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1878 2191 3130 4382 4695 6451 6573 9390 10955 12902 13146 19353 21910 32255 32865 38706 45157 64510 65730 90314 96765 135471 193530 225785 270942 451570 677355 1354710 2019163 4038326 6057489 10095815 12114978 14134141 20191630 28268282 30287445 42402423 60574890 70670705 84804846 141341410 212012115 424024230