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34414513 = 72702337
BaseRepresentation
bin1000001101000…
…1111110110001
32101202102211121
42003101332301
532302231023
63225342241
7565342600
oct203217661
971672747
1034414513
1118476151
12b637981
13718c423
1447dba37
15304bd5d
hex20d1fb1

34414513 has 6 divisors (see below), whose sum is σ = 40033266. Its totient is φ = 29498112.

The previous prime is 34414507. The next prime is 34414531. The reversal of 34414513 is 31541443.

34414513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 1787569 = 5712^2 + 1337^2 .

It is a de Polignac number, because none of the positive numbers 2k-34414513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34414573) 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 5 ways as a sum of consecutive naturals, for example, 351120 + ... + 351217.

It is an arithmetic number, because the mean of its divisors is an integer number (6672211).

Almost surely, 234414513 is an apocalyptic number.

It is an amenable number.

34414513 is a deficient number, since it is larger than the sum of its proper divisors (5618753).

34414513 is an equidigital number, since it uses as much as digits as its factorization.

34414513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702351 (or 702344 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 34414513 is about 5866.3884119618. The cubic root of 34414513 is about 325.2723964811.

Adding to 34414513 its reverse (31541443), we get a palindrome (65955956).

The spelling of 34414513 in words is "thirty-four million, four hundred fourteen thousand, five hundred thirteen".

Divisors: 1 7 49 702337 4916359 34414513