Search a number
-
+
323839387390680 = 2334571914943911489
BaseRepresentation
bin100100110100001111011101…
…1101001100101001011011000
31120110121202001201010212110000
41021220132323221211023120
5314421241031133000210
63104425432154453000
7125132423624044650
oct11150367351451330
91513552051125400
10323839387390680
1194204570785577
12303a22ab734160
1310b90c00355635
1459d7ca4db3360
152768c14053ac0
hex12687bba652d8

323839387390680 has 1280 divisors, whose sum is σ = 1321331616000000. Its totient is φ = 69489270226944.

The previous prime is 323839387390657. The next prime is 323839387390711. The reversal of 323839387390680 is 86093783938323.

323839387390680 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 393 + 8 + 73 + 90 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 323839387390599 and 323839387390608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28186902376 + ... + 28186913864.

It is an arithmetic number, because the mean of its divisors is an integer number (1032290325000).

Almost surely, 2323839387390680 is an apocalyptic number.

323839387390680 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 323839387390680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660665808000000).

323839387390680 is an abundant number, since it is smaller than the sum of its proper divisors (997492228609320).

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

323839387390680 is a wasteful number, since it uses less digits than its factorization.

323839387390680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 323839387390680 in words is "three hundred twenty-three trillion, eight hundred thirty-nine billion, three hundred eighty-seven million, three hundred ninety thousand, six hundred eighty".