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3314302224240 = 2435716328342767
BaseRepresentation
bin110000001110101011110…
…011101000011101110000
3102201211210102100120111010
4300032223303220131300
5413300142332133430
611014322554550520
7461310333040260
oct60165363503560
912654712316433
103314302224240
111068651224807
12456401138440
131b06ca766997
14b65ad7037a0
155b32c833cb0
hex303abce8770

3314302224240 has 320 divisors, whose sum is σ = 11856160014336. Its totient is φ = 750229226496.

The previous prime is 3314302224223. The next prime is 3314302224241. The reversal of 3314302224240 is 424222034133.

3314302224240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33143022242402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3314302224198 and 3314302224207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314302224241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77475337 + ... + 77518103.

Almost surely, 23314302224240 is an apocalyptic number.

3314302224240 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 3314302224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928080007168).

3314302224240 is an abundant number, since it is smaller than the sum of its proper divisors (8541857790096).

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

3314302224240 is a wasteful number, since it uses less digits than its factorization.

3314302224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43236 (or 43230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3314302224240 its reverse (424222034133), we get a palindrome (3738524258373).

The spelling of 3314302224240 in words is "three trillion, three hundred fourteen billion, three hundred two million, two hundred twenty-four thousand, two hundred forty".