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341242633116 = 22327113723913921
BaseRepresentation
bin1001111011100111010…
…01010101101110011100
31012121210210012212102100
410331303221111232130
521042331103224431
6420433101525100
733440211344250
oct4756351255634
91177723185370
10341242633116
111217a162aa60
1256175573790
1326243481828
141273277a260
158d233034e6
hex4f73a55b9c

341242633116 has 288 divisors, whose sum is σ = 1109198039040. Its totient is φ = 85871923200.

The previous prime is 341242633111. The next prime is 341242633117. The reversal of 341242633116 is 611336242143.

341242633116 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 2 + 633 + 1 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341242633111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24505836 + ... + 24519756.

It is an arithmetic number, because the mean of its divisors is an integer number (3851382080).

Almost surely, 2341242633116 is an apocalyptic number.

341242633116 is a gapful number since it is divisible by the number (36) 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 341242633116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554599019520).

341242633116 is an abundant number, since it is smaller than the sum of its proper divisors (767955405924).

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

341242633116 is a wasteful number, since it uses less digits than its factorization.

341242633116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14220 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 341242633116 its reverse (611336242143), we get a palindrome (952578875259).

The spelling of 341242633116 in words is "three hundred forty-one billion, two hundred forty-two million, six hundred thirty-three thousand, one hundred sixteen".