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34014300033 = 3723954112527
BaseRepresentation
bin11111101011011010…
…010000011110000001
310020210111220110210010
4133223122100132001
51024130130100113
623343112255133
72312622531330
oct375332203601
9106714813703
1034014300033
111347520506a
1267133a14a9
133290c5266c
141909641d17
15d412761c3
hex7eb690781

34014300033 has 32 divisors (see below), whose sum is σ = 52148551680. Its totient is φ = 19318098240.

The previous prime is 34014300031. The next prime is 34014300037. The reversal of 34014300033 is 33000341043.

It is not a de Polignac number, because 34014300033 - 21 = 34014300031 is a prime.

It is a super-3 number, since 3×340143000333 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34014299982 and 34014300009.

It is not an unprimeable number, because it can be changed into a prime (34014300031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709016 + ... + 2721542.

It is an arithmetic number, because the mean of its divisors is an integer number (1629642240).

Almost surely, 234014300033 is an apocalyptic number.

It is an amenable number.

34014300033 is a deficient number, since it is larger than the sum of its proper divisors (18134251647).

34014300033 is a wasteful number, since it uses less digits than its factorization.

34014300033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 34014300033 its reverse (33000341043), we get a palindrome (67014641076).

The spelling of 34014300033 in words is "thirty-four billion, fourteen million, three hundred thousand, thirty-three".

Divisors: 1 3 7 21 239 541 717 1623 1673 3787 5019 11361 12527 37581 87689 129299 263067 387897 905093 2715279 2993953 6777107 8981859 20331321 20957671 47439749 62873013 142319247 1619728573 4859185719 11338100011 34014300033