Search a number
-
+
324989340 = 2235131724509
BaseRepresentation
bin10011010111101…
…111000110011100
3211122112011120020
4103113233012130
51131144124330
652125352140
711024235534
oct2327570634
9748464506
10324989340
111574a2335
1290a08650
135243a1b0
143123a4c4
151d7e8210
hex135ef19c

324989340 has 96 divisors (see below), whose sum is σ = 1037655360. Its totient is φ = 75288576.

The previous prime is 324989339. The next prime is 324989347. The reversal of 324989340 is 43989423.

It is a happy number.

It is a super-2 number, since 2×3249893402 = 211236142227271200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 324989292 and 324989301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324989347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (10808910).

Almost surely, 2324989340 is an apocalyptic number.

324989340 is a gapful number since it is divisible by the number (30) 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 324989340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518827680).

324989340 is an abundant number, since it is smaller than the sum of its proper divisors (712666020).

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

324989340 is a wasteful number, since it uses less digits than its factorization.

324989340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24551 (or 24549 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 324989340 is about 18027.4607196909. The cubic root of 324989340 is about 687.5269164117.

The spelling of 324989340 in words is "three hundred twenty-four million, nine hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 24509 49018 73527 98036 122545 147054 245090 294108 318617 367635 416653 490180 637234 735270 833306 955851 1249959 1274468 1470540 1593085 1666612 1911702 2083265 2499918 3186170 3823404 4166530 4779255 4999836 5416489 6249795 6372340 8333060 9558510 10832978 12499590 16249467 19117020 21665956 24999180 27082445 32498934 54164890 64997868 81247335 108329780 162494670 324989340