Search a number
-
+
304400040000 = 263547362381
BaseRepresentation
bin1000110110111111010…
…10000000000001000000
31002002201011101012220120
410123133222000001000
514441402402240000
6351501153140240
730664213435320
oct4333752000100
91062634335816
10304400040000
111081059834a1
124abb2b5a680
13229215a6b84
1410a3966b280
157db8b046a0
hex46dfa80040

304400040000 has 280 divisors, whose sum is σ = 1150194669888. Its totient is φ = 69576960000.

The previous prime is 304400039989. The next prime is 304400040001. The reversal of 304400040000 is 40004403.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (304400040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 658810 + ... + 1021190.

Almost surely, 2304400040000 is an apocalyptic number.

304400040000 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 304400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575097334944).

304400040000 is an abundant number, since it is smaller than the sum of its proper divisors (845794629888).

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

304400040000 is an equidigital number, since it uses as much as digits as its factorization.

304400040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362423 (or 362398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 304400040000 its reverse (40004403), we get a palindrome (304440044403).

The spelling of 304400040000 in words is "three hundred four billion, four hundred million, forty thousand".