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34003424313 = 328345519979
BaseRepresentation
bin11111101010110000…
…110001010000111001
310020202202102221002200
4133222300301100321
51024114334034223
623342043220413
72312431223565
oct375260612071
9106682387080
1034003424313
111346a056a71
12670b817709
13328b915321
1419080106a5
15d40328a43
hex7eac31439

34003424313 has 12 divisors (see below), whose sum is σ = 49707818160. Its totient is φ = 22395829176.

The previous prime is 34003424239. The next prime is 34003424339. The reversal of 34003424313 is 31342430043.

34003424313 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 342 + 4 + 313 = 666.

It is not a de Polignac number, because 34003424313 - 29 = 34003423801 is a prime.

It is a super-3 number, since 3×340034243133 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34003424813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22759243 + ... + 22760736.

It is an arithmetic number, because the mean of its divisors is an integer number (4142318180).

Almost surely, 234003424313 is an apocalyptic number.

It is an amenable number.

34003424313 is a deficient number, since it is larger than the sum of its proper divisors (15704393847).

34003424313 is a wasteful number, since it uses less digits than its factorization.

34003424313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45520068 (or 45520065 counting only the distinct ones).

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

Adding to 34003424313 its reverse (31342430043), we get a palindrome (65345854356).

The spelling of 34003424313 in words is "thirty-four billion, three million, four hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 83 249 747 45519979 136559937 409679811 3778158257 11334474771 34003424313