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342232340031 = 3373173633861
BaseRepresentation
bin1001111101011101010…
…00110001011000111111
31012201100202112012002000
410332232220301120333
521101342434340111
6421115214433343
733503556615201
oct4765650613077
91181322465060
10342232340031
1112215a26345a
12563b0b02853
132637052691a
14127c7da8771
158d8014ec56
hex4faea3163f

342232340031 has 16 divisors (see below), whose sum is σ = 513956231520. Its totient is φ = 225029482560.

The previous prime is 342232339997. The next prime is 342232340069. The reversal of 342232340031 is 130043232243.

342232340031 is a `hidden beast` number, since 3 + 4 + 223 + 2 + 3 + 400 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-342232340031 is a prime.

It is a super-2 number, since 2×3422323400312 (a number of 24 digits) contains 22 as substring.

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 = 342232339977 and 342232340004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342232340071) 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 15 ways as a sum of consecutive naturals, for example, 86814960 + ... + 86818901.

It is an arithmetic number, because the mean of its divisors is an integer number (32122264470).

Almost surely, 2342232340031 is an apocalyptic number.

342232340031 is a deficient number, since it is larger than the sum of its proper divisors (171723891489).

342232340031 is a wasteful number, since it uses less digits than its factorization.

342232340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173633943 (or 173633937 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 342232340031 its reverse (130043232243), we get a palindrome (472275572274).

The spelling of 342232340031 in words is "three hundred forty-two billion, two hundred thirty-two million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 27 73 219 657 1971 173633861 520901583 1562704749 4688114247 12675271853 38025815559 114077446677 342232340031