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34015420332 = 22325939074099
BaseRepresentation
bin11111101011011110…
…100001111110101100
310020210121000101112200
4133223132201332230
51024130421422312
623343152301500
72312635205445
oct375336417654
9106717011480
1034015420332
11134758aa833
126713841890
13329125556a
1419098542cc
15d413e80dc
hex7eb7a1fac

34015420332 has 72 divisors (see below), whose sum is σ = 87484488000. Its totient is φ = 11140724448.

The previous prime is 34015420331. The next prime is 34015420357. The reversal of 34015420332 is 23302451043.

34015420332 is a `hidden beast` number, since 3 + 401 + 54 + 203 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34015420296 and 34015420305.

It is not an unprimeable number, because it can be changed into a prime (34015420331) 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 23 ways as a sum of consecutive naturals, for example, 8296419 + ... + 8300517.

Almost surely, 234015420332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34015420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742244000).

34015420332 is an abundant number, since it is smaller than the sum of its proper divisors (53469067668).

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

34015420332 is a wasteful number, since it uses less digits than its factorization.

34015420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075 (or 8070 counting only the distinct ones).

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

Adding to 34015420332 its reverse (23302451043), we get a palindrome (57317871375).

The spelling of 34015420332 in words is "thirty-four billion, fifteen million, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3907 4099 7814 8198 11721 12297 15628 16396 23442 24594 35163 36891 46884 49188 70326 73782 140652 147564 230513 241841 461026 483682 691539 725523 922052 967364 1383078 1451046 2074617 2176569 2766156 2902092 4149234 4353138 8298468 8706276 16014793 32029586 48044379 64059172 96088758 144133137 192177516 288266274 576532548 944872787 1889745574 2834618361 3779491148 5669236722 8503855083 11338473444 17007710166 34015420332