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323484480 = 263251110211
BaseRepresentation
bin10011010001111…
…111101101000000
3211112200201021200
4103101333231000
51130303000410
652033221200
711005400304
oct2321775500
9745621250
10323484480
11156664750
1290401800
1352031247
1430d67d04
151d5ec3c0
hex1347fb40

323484480 has 168 divisors, whose sum is σ = 1213920864. Its totient is φ = 78412800.

The previous prime is 323484479. The next prime is 323484487. The reversal of 323484480 is 84484323.

323484480 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323484487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26575 + ... + 36785.

Almost surely, 2323484480 is an apocalyptic number.

323484480 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 323484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606960432).

323484480 is an abundant number, since it is smaller than the sum of its proper divisors (890436384).

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

323484480 is a wasteful number, since it uses less digits than its factorization.

323484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 323484480 is about 17985.6742992861. The cubic root of 323484480 is about 686.4640786511.

The spelling of 323484480 in words is "three hundred twenty-three million, four hundred eighty-four thousand, four hundred eighty".