Search a number
-
+
324438088 = 23132317757
BaseRepresentation
bin10011010101101…
…000100001001000
3211121111011101111
4103111220201020
51131024004323
652105500104
711016451432
oct2325504110
9747434344
10324438088
11157156157
12907a1634
13522a6300
1431135652
151d739c0d
hex13568848

324438088 has 48 divisors (see below), whose sum is σ = 661665780. Its totient is φ = 149071104.

The previous prime is 324438083. The next prime is 324438097. The reversal of 324438088 is 880834423.

It can be written as a sum of positive squares in 6 ways, for example, as 10510564 + 313927524 = 3242^2 + 17718^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 324438088.

It is not an unprimeable number, because it can be changed into a prime (324438083) 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 11 ways as a sum of consecutive naturals, for example, 428206 + ... + 428962.

Almost surely, 2324438088 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 324438088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330832890).

324438088 is an abundant number, since it is smaller than the sum of its proper divisors (337227692).

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

324438088 is a wasteful number, since it uses less digits than its factorization.

324438088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 324438088 is about 18012.1650003546. The cubic root of 324438088 is about 687.1379651118.

The spelling of 324438088 in words is "three hundred twenty-four million, four hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 317 338 634 676 757 1268 1352 1514 2536 3028 4121 6056 8242 9841 16484 19682 32968 39364 53573 78728 107146 127933 214292 239969 255866 428584 479938 511732 959876 1023464 1919752 3119597 6239194 12478388 24956776 40554761 81109522 162219044 324438088