Search a number
-
+
324042432 = 2637461523
BaseRepresentation
bin10011010100000…
…111111011000000
3211120202001122120
4103110013323000
51130423324212
652053204240
711013213060
oct2324077300
9746661576
10324042432
11156a0596a
1290630680
13521981ac
14310713a0
151d6ac88c
hex13507ec0

324042432 has 112 divisors (see below), whose sum is σ = 983845632. Its totient is φ = 92206080.

The previous prime is 324042421. The next prime is 324042443. The reversal of 324042432 is 234240423.

It is an interprime number because it is at equal distance from previous prime (324042421) and next prime (324042443).

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 619323 + ... + 619845.

It is an arithmetic number, because the mean of its divisors is an integer number (8784336).

Almost surely, 2324042432 is an apocalyptic number.

324042432 is a gapful number since it is divisible by the number (32) 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 324042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491922816).

324042432 is an abundant number, since it is smaller than the sum of its proper divisors (659803200).

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

324042432 is a wasteful number, since it uses less digits than its factorization.

324042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 324042432 is about 18001.1786280788. The cubic root of 324042432 is about 686.8585272570.

Adding to 324042432 its reverse (234240423), we get a palindrome (558282855).

The spelling of 324042432 in words is "three hundred twenty-four million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 461 523 672 922 1046 1344 1383 1569 1844 2092 2766 3138 3227 3661 3688 4184 5532 6276 6454 7322 7376 8368 9681 10983 11064 12552 12908 14644 14752 16736 19362 21966 22128 25104 25816 29288 29504 33472 38724 43932 44256 50208 51632 58576 77448 87864 88512 100416 103264 117152 154896 175728 206528 234304 241103 309792 351456 482206 619584 702912 723309 964412 1446618 1687721 1928824 2893236 3375442 3857648 5063163 5786472 6750884 7715296 10126326 11572944 13501768 15430592 20252652 23145888 27003536 40505304 46291776 54007072 81010608 108014144 162021216 324042432