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412430424 = 233716315061
BaseRepresentation
bin11000100101010…
…011000001011000
31001202001122011220
4120211103001120
51321040233144
6104531452040
713135413030
oct3045230130
91052048156
10412430424
111a189609a
12b6157020
13675a4493
143cabc8c0
152631b919
hex18953058

412430424 has 64 divisors (see below), whose sum is σ = 1185680640. Its totient is φ = 117106560.

The previous prime is 412430413. The next prime is 412430441. The reversal of 412430424 is 424034214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 412430394 and 412430403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19854 + ... + 34914.

It is an arithmetic number, because the mean of its divisors is an integer number (18526260).

Almost surely, 2412430424 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 412430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592840320).

412430424 is an abundant number, since it is smaller than the sum of its proper divisors (773250216).

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

412430424 is a wasteful number, since it uses less digits than its factorization.

412430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 412430424 is about 20308.3830966426. The cubic root of 412430424 is about 744.3609215438.

Adding to 412430424 its reverse (424034214), we get a palindrome (836464638).

The spelling of 412430424 in words is "four hundred twelve million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4564 6846 9128 13692 15061 27384 30122 45183 60244 90366 105427 120488 180732 210854 316281 361464 421708 632562 843416 1265124 2454943 2530248 4909886 7364829 9819772 14729658 17184601 19639544 29459316 34369202 51553803 58918632 68738404 103107606 137476808 206215212 412430424