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34002134235 = 345159752571
BaseRepresentation
bin11111101010101011…
…110110010011011011
310020202200000101110000
4133222223312103123
51024114021243420
623341555424043
72312414241456
oct375253662333
9106680011400
1034002134235
1113469355793
12670b2b5023
13328b583074
141907b9649d
15d40171690
hex7eaaf64db

34002134235 has 40 divisors (see below), whose sum is σ = 60991300656. Its totient is φ = 18122771520.

The previous prime is 34002134233. The next prime is 34002134261. The reversal of 34002134235 is 53243120043.

34002134235 is a `hidden beast` number, since 3 + 400 + 21 + 3 + 4 + 235 = 666.

It is not a de Polignac number, because 34002134235 - 21 = 34002134233 is a prime.

It is a super-2 number, since 2×340021342352 (a number of 22 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 = 34002134199 and 34002134208.

It is not an unprimeable number, because it can be changed into a prime (34002134233) 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 39 ways as a sum of consecutive naturals, for example, 620500 + ... + 673070.

Almost surely, 234002134235 is an apocalyptic number.

34002134235 is a deficient number, since it is larger than the sum of its proper divisors (26989166421).

34002134235 is a wasteful number, since it uses less digits than its factorization.

34002134235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54185 (or 54176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34002134235 its reverse (53243120043), we get a palindrome (87245254278).

The spelling of 34002134235 in words is "thirty-four billion, two million, one hundred thirty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1597 4791 7985 14373 23955 43119 52571 71865 129357 157713 215595 262855 473139 646785 788565 1419417 2365695 4258251 7097085 21291255 83955887 251867661 419779435 755602983 1259338305 2266808949 3778014915 6800426847 11334044745 34002134235