Search a number
-
+
396804096 = 214341323
BaseRepresentation
bin10111101001101…
…100000000000000
31000122122201220000
4113221230000000
51303040212341
6103212520000
712555531153
oct2751540000
91018581800
10396804096
11193a92877
12b0a80000
1364292a30
143a9b1c9a
1524c818b6
hex17a6c000

396804096 has 300 divisors, whose sum is σ = 1332175152. Its totient is φ = 116785152.

The previous prime is 396804091. The next prime is 396804137. The reversal of 396804096 is 690408693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396804091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17252341 + ... + 17252363.

Almost surely, 2396804096 is an apocalyptic number.

396804096 is a gapful number since it is divisible by the number (36) 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 396804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666087576).

396804096 is an abundant number, since it is smaller than the sum of its proper divisors (935371056).

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

396804096 is an equidigital number, since it uses as much as digits as its factorization.

396804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 396804096 is about 19919.9421685908. The cubic root of 396804096 is about 734.8387484657.

The spelling of 396804096 in words is "three hundred ninety-six million, eight hundred four thousand, ninety-six".