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34241319 = 337237877
BaseRepresentation
bin1000001010011…
…1101100100111
32101102122021000
42002213230213
532231210234
63221524343
7564021630
oct202475447
971378230
1034241319
1118368012
12b5736b3
13712b648
144794887
153015899
hex20a7b27

34241319 has 32 divisors (see below), whose sum is σ = 60503040. Its totient is φ = 18713376.

The previous prime is 34241309. The next prime is 34241321. The reversal of 34241319 is 91314243.

34241319 is a `hidden beast` number, since 342 + 4 + 1 + 319 = 666.

34241319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34241319 - 24 = 34241303 is a prime.

It is a super-2 number, since 2×342413192 = 2344935853719522, which 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 = 34241292 and 34241301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (1890720).

Almost surely, 234241319 is an apocalyptic number.

34241319 is a deficient number, since it is larger than the sum of its proper divisors (26261721).

34241319 is a wasteful number, since it uses less digits than its factorization.

34241319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7910 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34241319 is about 5851.6082404754. The cubic root of 34241319 is about 324.7258247822.

The spelling of 34241319 in words is "thirty-four million, two hundred forty-one thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 7877 23631 55139 70893 165417 181171 212679 496251 543513 1268197 1488753 1630539 3804591 4891617 11413773 34241319