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324988416 = 293323509
BaseRepresentation
bin10011010111101…
…110111000000000
3211122112010022000
4103113232320000
51131144112131
652125344000
711024233044
oct2327567000
9748463260
10324988416
111574a1675
1290a08000
135243994c
143123a024
151d7e7ce6
hex135eee00

324988416 has 80 divisors (see below), whose sum is σ = 962029200. Its totient is φ = 108324864.

The previous prime is 324988403. The next prime is 324988429. The reversal of 324988416 is 614889423.

It is a happy number.

324988416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (324988403) and next prime (324988429).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2070 + ... + 25578.

It is an arithmetic number, because the mean of its divisors is an integer number (12025365).

Almost surely, 2324988416 is an apocalyptic number.

324988416 is a gapful number since it is divisible by the number (36) 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 324988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481014600).

324988416 is an abundant number, since it is smaller than the sum of its proper divisors (637040784).

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

324988416 is an equidigital number, since it uses as much as digits as its factorization.

324988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23536 (or 23514 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 324988416 is about 18027.4350921034. The cubic root of 324988416 is about 687.5262648258.

The spelling of 324988416 in words is "three hundred twenty-four million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 23509 47018 70527 94036 141054 188072 211581 282108 376144 423162 564216 634743 752288 846324 1128432 1269486 1504576 1692648 2256864 2538972 3009152 3385296 4513728 5077944 6018304 6770592 9027456 10155888 12036608 13541184 18054912 20311776 27082368 36109824 40623552 54164736 81247104 108329472 162494208 324988416