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326999040 = 2103561349
BaseRepresentation
bin10011011111011…
…001110000000000
3211210022021100120
4103133121300000
51132202432130
652240420240
711050305654
oct2337316000
9753267316
10326999040
11158645245
1291617680
1352991b74
1431600a64
151da93910
hex137d9c00

326999040 has 176 divisors, whose sum is σ = 1066077600. Its totient is φ = 85524480.

The previous prime is 326999039. The next prime is 326999053. The reversal of 326999040 is 40999623.

326999040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 326998983 and 326999001.

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 15 ways as a sum of consecutive naturals, for example, 936786 + ... + 937134.

Almost surely, 2326999040 is an apocalyptic number.

326999040 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 326999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533038800).

326999040 is an abundant number, since it is smaller than the sum of its proper divisors (739078560).

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

326999040 is a wasteful number, since it uses less digits than its factorization.

326999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 326999040 is about 18083.1147759450. The cubic root of 326999040 is about 688.9412032573.

The spelling of 326999040 in words is "three hundred twenty-six million, nine hundred ninety-nine thousand, forty".