Search a number
-
+
321213240 = 2332519151311
BaseRepresentation
bin10011001001010…
…101001100111000
3211101102022201200
4103021111030320
51124212310430
651512414200
710650160515
oct2311251470
9741368650
10321213240
11155353297
128b6a7360
135171750a
143093630c
151d2ee460
hex13255338

321213240 has 192 divisors, whose sum is σ = 1109721600. Its totient is φ = 80352000.

The previous prime is 321213223. The next prime is 321213271. The reversal of 321213240 is 42312123.

321213240 is a `hidden beast` number, since 321 + 21 + 324 + 0 = 666.

321213240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1032685 + ... + 1032995.

It is an arithmetic number, because the mean of its divisors is an integer number (5779800).

Almost surely, 2321213240 is an apocalyptic number.

321213240 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 321213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554860800).

321213240 is an abundant number, since it is smaller than the sum of its proper divisors (788508360).

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

321213240 is a wasteful number, since it uses less digits than its factorization.

321213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

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

The square root of 321213240 is about 17922.4228272854. The cubic root of 321213240 is about 684.8537098581.

Adding to 321213240 its reverse (42312123), we get a palindrome (363525363).

The spelling of 321213240 in words is "three hundred twenty-one million, two hundred thirteen thousand, two hundred forty".