Search a number
-
+
3434205131 = 726710110357
BaseRepresentation
bin1100110010110001…
…1100111111001011
322212100001200210122
43030230130333023
524013124031011
61324434533455
7151050155600
oct31454347713
98770050718
103434205131
111502579165
127ba13728b
13429640b56
142481526a7
151517623db
hexccb1cfcb

3434205131 has 24 divisors (see below), whose sum is σ = 4095056016. Its totient is φ = 2870683200.

The previous prime is 3434205127. The next prime is 3434205133. The reversal of 3434205131 is 1315024343.

It is not a de Polignac number, because 3434205131 - 22 = 3434205127 is a prime.

It is a super-2 number, since 2×34342051312 = 23587529763573454322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3434205131.

It is not an unprimeable number, because it can be changed into a prime (3434205133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326405 + ... + 336761.

It is an arithmetic number, because the mean of its divisors is an integer number (170627334).

Almost surely, 23434205131 is an apocalyptic number.

3434205131 is a deficient number, since it is larger than the sum of its proper divisors (660850885).

3434205131 is a wasteful number, since it uses less digits than its factorization.

3434205131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10532 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3434205131 is about 58602.0915241086. The cubic root of 3434205131 is about 1508.7203361023.

Adding to 3434205131 its reverse (1315024343), we get a palindrome (4749229474).

The spelling of 3434205131 in words is "three billion, four hundred thirty-four million, two hundred five thousand, one hundred thirty-one".

Divisors: 1 7 49 67 101 469 707 3283 4949 6767 10357 47369 72499 331583 507493 693919 1046057 4857433 7322399 34002031 51256793 70085819 490600733 3434205131