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3340300003040 = 2557111397721347
BaseRepresentation
bin110000100110111001011…
…001010010011011100000
3102211022220020202120111102
4300212321121102123200
5414211413300044130
611034302421333532
7463220514361610
oct60467131223340
912738806676442
103340300003040
1110786822a7810
1245b4578672a8
131b2cb1910350
14b79583baa40
155bd4ede9645
hex309b96526e0

3340300003040 has 384 divisors, whose sum is σ = 10606866859008. Its totient is φ = 960016711680.

The previous prime is 3340300003037. The next prime is 3340300003043. The reversal of 3340300003040 is 403000030433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3340300003037) and next prime (3340300003043).

It is a super-2 number, since 2×33403000030402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340300003043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156465647 + ... + 156486993.

It is an arithmetic number, because the mean of its divisors is an integer number (27622049112).

Almost surely, 23340300003040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340300003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303433429504).

3340300003040 is an abundant number, since it is smaller than the sum of its proper divisors (7266566855968).

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

3340300003040 is a wasteful number, since it uses less digits than its factorization.

3340300003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22370 (or 22362 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 3340300003040 its reverse (403000030433), we get a palindrome (3743300033473).

It can be divided in two parts, 3 and 340300003040, that added together give a palindrome (340300003043).

The spelling of 3340300003040 in words is "three trillion, three hundred forty billion, three hundred million, three thousand, forty".