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3340452234240 = 210345114317029
BaseRepresentation
bin110000100111000010011…
…110000000010000000000
3102211100021212012201110000
4300213002132000100000
5414212221232443430
611034325500240000
7463224343333422
oct60470236002000
912740255181400
103340452234240
111078750223320
1245b49a840000
131b3007310994
14b79706c6812
155bd5d469e60
hex309c2780400

3340452234240 has 880 divisors, whose sum is σ = 13362971244480. Its totient is φ = 790927441920.

The previous prime is 3340452234191. The next prime is 3340452234241. The reversal of 3340452234240 is 424322540433.

3340452234240 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 4 + 5 + 223 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×33404522342402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3340452234195 and 3340452234204.

It is not an unprimeable number, because it can be changed into a prime (3340452234241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196154046 + ... + 196171074.

It is an arithmetic number, because the mean of its divisors is an integer number (15185194596).

Almost surely, 23340452234240 is an apocalyptic number.

3340452234240 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 3340452234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681485622240).

3340452234240 is an abundant number, since it is smaller than the sum of its proper divisors (10022519010240).

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

3340452234240 is a wasteful number, since it uses less digits than its factorization.

3340452234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 3340452234240 its reverse (424322540433), we get a palindrome (3764774774673).

The spelling of 3340452234240 in words is "three trillion, three hundred forty billion, four hundred fifty-two million, two hundred thirty-four thousand, two hundred forty".