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3465024122340 = 223251191910311847
BaseRepresentation
bin110010011011000011100…
…010000010110111100100
3110021020211111012022101100
4302123003202002313210
5423232332133403330
611211450552200100
7505224346035564
oct62330342026744
913236744168340
103465024122340
111116565869660
1247b665699030
131c199a751881
14bd9cacccda4
15601ee9ae060
hex326c3882de4

3465024122340 has 288 divisors, whose sum is σ = 11495910666240. Its totient is φ = 837824083200.

The previous prime is 3465024122327. The next prime is 3465024122387. The reversal of 3465024122340 is 432214205643.

3465024122340 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 0 + 2 + 412 + 234 + 0 = 666.

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 = 3465024122295 and 3465024122304.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1876027297 + ... + 1876029143.

It is an arithmetic number, because the mean of its divisors is an integer number (39916356480).

Almost surely, 23465024122340 is an apocalyptic number.

3465024122340 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 3465024122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747955333120).

3465024122340 is an abundant number, since it is smaller than the sum of its proper divisors (8030886543900).

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

3465024122340 is a wasteful number, since it uses less digits than its factorization.

3465024122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 3465024122340 its reverse (432214205643), we get a palindrome (3897238327983).

The spelling of 3465024122340 in words is "three trillion, four hundred sixty-five billion, twenty-four million, one hundred twenty-two thousand, three hundred forty".