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1324239840 = 253457111327
BaseRepresentation
bin100111011101110…
…0100101111100000
310102021210100120000
41032323210233200
510203001133330
6335223020000
744546565360
oct11673445740
93367710500
101324239840
1161a553aa0
1230b59a600
13181474191
14c7c309a0
157b3cc560
hex4eee4be0

1324239840 has 480 divisors, whose sum is σ = 5831046144. Its totient is φ = 274959360.

The previous prime is 1324239799. The next prime is 1324239841. The reversal of 1324239840 is 489324231.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13242398402 = 3507222307686451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1324239795 and 1324239804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324239841) 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 79 ways as a sum of consecutive naturals, for example, 997257 + ... + 998583.

Almost surely, 21324239840 is an apocalyptic number.

1324239840 is a gapful number since it is divisible by the number (10) 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 1324239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915523072).

1324239840 is an abundant number, since it is smaller than the sum of its proper divisors (4506806304).

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

1324239840 is a wasteful number, since it uses less digits than its factorization.

1324239840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1324239840 is about 36390.1063477424. The cubic root of 1324239840 is about 1098.1345351589.

The spelling of 1324239840 in words is "one billion, three hundred twenty-four million, two hundred thirty-nine thousand, eight hundred forty".