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34134156342 = 2321113233715583
BaseRepresentation
bin11111110010100011…
…011110010000110110
310021002212102210201200
4133302203132100312
51024401321000332
623403033233330
72315606353536
oct376243362066
9107085383650
1034134156342
1113526928970
126747562846
1332aca29060
14191b5214c6
15d4ba4e17c
hex7f28de436

34134156342 has 192 divisors, whose sum is σ = 93121007616. Its totient is φ = 8885479680.

The previous prime is 34134156337. The next prime is 34134156361. The reversal of 34134156342 is 24365143143.

34134156342 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 4 + 15 + 634 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34134156297 and 34134156306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2182683 + ... + 2198265.

It is an arithmetic number, because the mean of its divisors is an integer number (485005248).

Almost surely, 234134156342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134156342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46560503808).

34134156342 is an abundant number, since it is smaller than the sum of its proper divisors (58986851274).

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

34134156342 is a wasteful number, since it uses less digits than its factorization.

34134156342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15672 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 34134156342 its reverse (24365143143), we get a palindrome (58499299485).

The spelling of 34134156342 in words is "thirty-four billion, one hundred thirty-four million, one hundred fifty-six thousand, three hundred forty-two".