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424314352 = 247112831217
BaseRepresentation
bin11001010010101…
…000010111110000
31002120102101212101
4121102220113300
51332111024402
6110034310144
713341420040
oct3122502760
91076371771
10424314352
111a8572720
12ba128354
1369ba56a7
14404d3720
15273b7b87
hex194a85f0

424314352 has 80 divisors (see below), whose sum is σ = 1029434112. Its totient is φ = 164597760.

The previous prime is 424314349. The next prime is 424314439. The reversal of 424314352 is 253413424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 424314352.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 348048 + ... + 349264.

Almost surely, 2424314352 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 424314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514717056).

424314352 is an abundant number, since it is smaller than the sum of its proper divisors (605119760).

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

424314352 is a wasteful number, since it uses less digits than its factorization.

424314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 424314352 is about 20598.8920090378. The cubic root of 424314352 is about 751.4427647195.

Adding to 424314352 its reverse (253413424), we get a palindrome (677727776).

The spelling of 424314352 in words is "four hundred twenty-four million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 283 308 566 616 1132 1217 1232 1981 2264 2434 3113 3962 4528 4868 6226 7924 8519 9736 12452 13387 15848 17038 19472 21791 24904 26774 31696 34076 43582 49808 53548 68152 87164 93709 107096 136304 174328 187418 214192 344411 348656 374836 688822 749672 1377644 1499344 2410877 2755288 3788521 4821754 5510576 7577042 9643508 15154084 19287016 26519647 30308168 38574032 53039294 60616336 106078588 212157176 424314352