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342031650030 = 233576123912413
BaseRepresentation
bin1001111101000101010…
…11001100110011101110
31012200211202220002011000
410332202223030303232
521100440100300110
6421043245141130
733465602025150
oct4764253146356
91180752802130
10342031650030
11122066a4a054
125635585a7a6
132633aa8a545
14127a9486ad0
158d6c70b1c0
hex4fa2acccee

342031650030 has 256 divisors, whose sum is σ = 1063989043200. Its totient is φ = 76569131520.

The previous prime is 342031650007. The next prime is 342031650031. The reversal of 342031650030 is 30056130243.

It is a happy number.

342031650030 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 1 + 650 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342031649976 and 342031650003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342031650031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27548104 + ... + 27560516.

It is an arithmetic number, because the mean of its divisors is an integer number (4156207200).

Almost surely, 2342031650030 is an apocalyptic number.

342031650030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342031650030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531994521600).

342031650030 is an abundant number, since it is smaller than the sum of its proper divisors (721957393170).

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

342031650030 is a wasteful number, since it uses less digits than its factorization.

342031650030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 342031650030 its reverse (30056130243), we get a palindrome (372087780273).

The spelling of 342031650030 in words is "three hundred forty-two billion, thirty-one million, six hundred fifty thousand, thirty".