[go: up one dir, main page]

Search a number
-
+
326406432 = 253112389151
BaseRepresentation
bin10011011101001…
…001000100100000
3211202012011110010
4103131021010200
51132030001212
652220004520
711042260152
oct2335110440
9752164403
10326406432
1115827aa90
1291390740
1352815201
14314c8ad2
151d9c803c
hex13749120

326406432 has 192 divisors, whose sum is σ = 992839680. Its totient is φ = 92928000.

The previous prime is 326406413. The next prime is 326406439. The reversal of 326406432 is 234604623.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 326406432.

It is not an unprimeable number, because it can be changed into a prime (326406439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161557 + ... + 2161707.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2326406432 is an apocalyptic number.

326406432 is a gapful number since it is divisible by the number (32) 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 326406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

326406432 is an abundant number, since it is smaller than the sum of its proper divisors (666433248).

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

326406432 is a wasteful number, since it uses less digits than its factorization.

326406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 326406432 is about 18066.7216727330. The cubic root of 326406432 is about 688.5247708938.

The spelling of 326406432 in words is "three hundred twenty-six million, four hundred six thousand, four hundred thirty-two".