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3432403013 = 132375310357
BaseRepresentation
bin1100110010010110…
…0101000001000101
322212012200010202112
43030211211001011
524012143344023
61324332150405
7151025641604
oct31445450105
98765603675
103432403013
111501558206
127b9608405
1342915c800
14247c03a3b
15151508478
hexcc965045

3432403013 has 24 divisors (see below), whose sum is σ = 3889594728. Its totient is φ = 3024283392.

The previous prime is 3432402989. The next prime is 3432403021. The reversal of 3432403013 is 3103042343.

It can be written as a sum of positive squares in 12 ways, for example, as 627853249 + 2804549764 = 25057^2 + 52958^2 .

It is not a de Polignac number, because 3432403013 - 212 = 3432398917 is a prime.

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 3432403013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432403313) 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 23 ways as a sum of consecutive naturals, for example, 326231 + ... + 336587.

It is an arithmetic number, because the mean of its divisors is an integer number (162066447).

Almost surely, 23432403013 is an apocalyptic number.

It is an amenable number.

3432403013 is a deficient number, since it is larger than the sum of its proper divisors (457191715).

3432403013 is a wasteful number, since it uses less digits than its factorization.

3432403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473 (or 10460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3432403013 is about 58586.7136217761. The cubic root of 3432403013 is about 1508.4563868337.

Adding to 3432403013 its reverse (3103042343), we get a palindrome (6535445356).

The spelling of 3432403013 in words is "three billion, four hundred thirty-two million, four hundred three thousand, thirteen".

Divisors: 1 13 37 53 169 481 689 1961 6253 8957 10357 25493 134641 331409 383209 548921 1750333 4981717 7135973 20310077 64762321 92767649 264031001 3432403013