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1323332640 = 25345729503
BaseRepresentation
bin100111011100000…
…0111010000100000
310102020002021010000
41032320013100200
510202233121030
6335151340000
744536066440
oct11670072040
93366067100
101323332640
11619a94443
1230b221600
13181217286
14c7a76120
157b29d860
hex4ee07420

1323332640 has 480 divisors, whose sum is σ = 5532468480. Its totient is φ = 291465216.

The previous prime is 1323332627. The next prime is 1323332651. The reversal of 1323332640 is 462333231.

It is a happy number.

1323332640 is a `hidden beast` number, since 1 + 323 + 332 + 6 + 4 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 2630629 + ... + 2631131.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 21323332640 is an apocalyptic number.

1323332640 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 1323332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766234240).

1323332640 is an abundant number, since it is smaller than the sum of its proper divisors (4209135840).

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

1323332640 is a wasteful number, since it uses less digits than its factorization.

1323332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

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

The square root of 1323332640 is about 36377.6392856931. The cubic root of 1323332640 is about 1097.8837106977.

Adding to 1323332640 its reverse (462333231), we get a palindrome (1785665871).

The spelling of 1323332640 in words is "one billion, three hundred twenty-three million, three hundred thirty-two thousand, six hundred forty".