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344285424 = 24337257443
BaseRepresentation
bin10100100001010…
…110000011110000
3212222211111211000
4110201112003300
51201114113144
654055122000
711350243410
oct2441260360
9788744730
10344285424
1116738180a
1297373300
13564350b2
1433a20640
152035a769
hex148560f0

344285424 has 160 divisors (see below), whose sum is σ = 1136355840. Its totient is φ = 97763328.

The previous prime is 344285401. The next prime is 344285429. The reversal of 344285424 is 424582443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344285429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 776947 + ... + 777389.

It is an arithmetic number, because the mean of its divisors is an integer number (7102224).

Almost surely, 2344285424 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 344285424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568177920).

344285424 is an abundant number, since it is smaller than the sum of its proper divisors (792070416).

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

344285424 is a wasteful number, since it uses less digits than its factorization.

344285424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 344285424 is about 18554.9299109428. The cubic root of 344285424 is about 700.8733480181.

The spelling of 344285424 in words is "three hundred forty-four million, two hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 257 336 378 432 443 504 514 756 771 886 1008 1028 1329 1512 1542 1772 1799 2056 2313 2658 3024 3084 3101 3544 3598 3987 4112 4626 5316 5397 6168 6202 6939 7088 7196 7974 9252 9303 10632 10794 11961 12336 12404 13878 14392 15948 16191 18504 18606 21264 21588 23922 24808 27756 27909 28784 31896 32382 37008 37212 43176 47844 48573 49616 55512 55818 63792 64764 74424 83727 86352 95688 97146 111024 111636 113851 129528 148848 167454 191376 194292 223272 227702 259056 334908 341553 388584 446544 455404 669816 683106 777168 796957 910808 1024659 1339632 1366212 1593914 1821616 2049318 2390871 2732424 3073977 3187828 4098636 4781742 5464848 6147954 6375656 7172613 8197272 9563484 12295908 12751312 14345226 16394544 19126968 21517839 24591816 28690452 38253936 43035678 49183632 57380904 86071356 114761808 172142712 344285424