Search a number
-
+
323123213340 = 223353724776529
BaseRepresentation
bin1001011001110111010…
…01001111010000011100
31010220001000022222021000
410230323221033100130
520243224020311330
6404235111510300
732226202665444
oct4547351172034
91126030288230
10323123213340
111150436a2774
1252759388390
132461659b475
14118d4145124
15861270b560
hex4b3ba4f41c

323123213340 has 192 divisors, whose sum is σ = 1033016745600. Its totient is φ = 83790692352.

The previous prime is 323123213317. The next prime is 323123213363. The reversal of 323123213340 is 43312321323.

323123213340 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 2 + 321 + 334 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (323123213317) and next prime (323123213363).

It is a super-2 number, since 2×3231232133402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49487196 + ... + 49493724.

It is an arithmetic number, because the mean of its divisors is an integer number (5380295550).

Almost surely, 2323123213340 is an apocalyptic number.

323123213340 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 323123213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516508372800).

323123213340 is an abundant number, since it is smaller than the sum of its proper divisors (709893532260).

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

323123213340 is a wasteful number, since it uses less digits than its factorization.

323123213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 323123213340 its reverse (43312321323), we get a palindrome (366435534663).

The spelling of 323123213340 in words is "three hundred twenty-three billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred forty".