Search a number
-
+
304401162240 = 213355717257
BaseRepresentation
bin1000110110111111011…
…10010010000000000000
31002002201020111020100000
410123133232102000000
514441403144142430
6351501233200000
730664226121210
oct4333756220000
91062636436300
10304401162240
1110810657a66a
124abb3400000
13229218aa916
1410a39880240
157db8c76e60
hex46dfb92000

304401162240 has 1344 divisors, whose sum is σ = 1329316095744. Its totient is φ = 65229815808.

The previous prime is 304401162227. The next prime is 304401162269. The reversal of 304401162240 is 42261104403.

It is a happy number.

304401162240 is a `hidden beast` number, since 3 + 0 + 4 + 401 + 16 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184440192 + ... + 1184440448.

It is an arithmetic number, because the mean of its divisors is an integer number (989074476).

Almost surely, 2304401162240 is an apocalyptic number.

304401162240 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 304401162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664658047872).

304401162240 is an abundant number, since it is smaller than the sum of its proper divisors (1024914933504).

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

304401162240 is an equidigital number, since it uses as much as digits as its factorization.

304401162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 304401162240 its reverse (42261104403), we get a palindrome (346662266643).

The spelling of 304401162240 in words is "three hundred four billion, four hundred one million, one hundred sixty-two thousand, two hundred forty".