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1323740496 = 2431321729331
BaseRepresentation
bin100111011100110…
…1010110101010000
310102020211222120210
41032321222311100
510202334143441
6335204204120
744542415511
oct11671526520
93366758523
101323740496
1161a242911
1230b399640
1318132ab00
14c7b40a08
157b32e616
hex4ee6ad50

1323740496 has 240 divisors, whose sum is σ = 4068221760. Its totient is φ = 369008640.

The previous prime is 1323740489. The next prime is 1323740503. The reversal of 1323740496 is 6940473231.

It is an interprime number because it is at equal distance from previous prime (1323740489) and next prime (1323740503).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3999051 + ... + 3999381.

It is an arithmetic number, because the mean of its divisors is an integer number (16950924).

Almost surely, 21323740496 is an apocalyptic number.

1323740496 is a gapful number since it is divisible by the number (16) 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 1323740496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034110880).

1323740496 is an abundant number, since it is smaller than the sum of its proper divisors (2744481264).

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

1323740496 is a wasteful number, since it uses less digits than its factorization.

1323740496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 1323740496 is about 36383.2447151158. The cubic root of 1323740496 is about 1097.9964897151.

The spelling of 1323740496 in words is "one billion, three hundred twenty-three million, seven hundred forty thousand, four hundred ninety-six".