Search a number
-
+
299645424 = 243213592713
BaseRepresentation
bin10001110111000…
…011100111110000
3202212211120020200
4101313003213300
51103202123144
645422235200
710265641551
oct2167034760
9685746220
10299645424
11144162051
1284425b00
134a1055b0
142bb20328
151b48dc69
hex11dc39f0

299645424 has 120 divisors (see below), whose sum is σ = 918743280. Its totient is φ = 90602496.

The previous prime is 299645419. The next prime is 299645459. The reversal of 299645424 is 424546992.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 299645424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109092 + ... + 111804.

It is an arithmetic number, because the mean of its divisors is an integer number (7656194).

Almost surely, 2299645424 is an apocalyptic number.

299645424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299645424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459371640).

299645424 is an abundant number, since it is smaller than the sum of its proper divisors (619097856).

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

299645424 is a wasteful number, since it uses less digits than its factorization.

299645424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 299645424 is about 17310.2693219950. The cubic root of 299645424 is about 669.1691073771.

The spelling of 299645424 in words is "two hundred ninety-nine million, six hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2713 2832 3068 4248 4602 5426 6136 6903 8139 8496 9204 10852 12272 13806 16278 18408 21704 24417 27612 32556 35269 36816 43408 48834 55224 65112 70538 97668 105807 110448 130224 141076 160067 195336 211614 282152 317421 320134 390672 423228 480201 564304 634842 640268 846456 960402 1269684 1280536 1440603 1692912 1920804 2080871 2539368 2561072 2881206 3841608 4161742 5078736 5762412 6242613 7683216 8323484 11524824 12485226 16646968 18727839 23049648 24970452 33293936 37455678 49940904 74911356 99881808 149822712 299645424