Search a number
-
+
326399040 = 263251110303
BaseRepresentation
bin10011011101000…
…111010001000000
3211202011210022100
4103131013101000
51132024232130
652215510400
711042226462
oct2335072100
9752153270
10326399040
11158275480
1291388400
1352811a36
14314c6132
151d9c5c60
hex13747440

326399040 has 168 divisors, whose sum is σ = 1224857088. Its totient is φ = 79119360.

The previous prime is 326399011. The next prime is 326399041. The reversal of 326399040 is 40993623.

It is a happy number.

326399040 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 junction number, because it is equal to n+sod(n) for n = 326398986 and 326399004.

It is not an unprimeable number, because it can be changed into a prime (326399041) 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, 26529 + ... + 36831.

It is an arithmetic number, because the mean of its divisors is an integer number (7290816).

Almost surely, 2326399040 is an apocalyptic number.

326399040 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 326399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612428544).

326399040 is an abundant number, since it is smaller than the sum of its proper divisors (898458048).

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

326399040 is a wasteful number, since it uses less digits than its factorization.

326399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 326399040 is about 18066.5170965518. The cubic root of 326399040 is about 688.5195732700.

The spelling of 326399040 in words is "three hundred twenty-six million, three hundred ninety-nine thousand, forty".