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324013014 = 23313597823
BaseRepresentation
bin10011010100000…
…000101111010110
3211120200120022000
4103110000233112
51130421404024
652052420130
711013031233
oct2324005726
9746616260
10324013014
11156995856
1290617646
13521879a0
143106478a
151d6a3cc9
hex13500bd6

324013014 has 64 divisors (see below), whose sum is σ = 788659200. Its totient is φ = 97994016.

The previous prime is 324013003. The next prime is 324013069. The reversal of 324013014 is 410310423.

It is a super-4 number, since 4×3240130144 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37507 + ... + 45329.

It is an arithmetic number, because the mean of its divisors is an integer number (12322800).

Almost surely, 2324013014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324013014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394329600).

324013014 is an abundant number, since it is smaller than the sum of its proper divisors (464646186).

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

324013014 is a wasteful number, since it uses less digits than its factorization.

324013014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 324013014 is about 18000.3614963700. The cubic root of 324013014 is about 686.8377412800.

Adding to 324013014 its reverse (410310423), we get a palindrome (734323437).

The spelling of 324013014 in words is "three hundred twenty-four million, thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 6903 7823 13806 15646 20709 23469 41418 46938 70407 101699 140814 203398 211221 305097 422442 461557 610194 915291 923114 1384671 1830582 2745873 2769342 4154013 5491746 6000241 8308026 12000482 12462039 18000723 24924078 36001446 54002169 108004338 162006507 324013014