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3438415045 = 513521101533
BaseRepresentation
bin1100110011110010…
…0000110011000101
322212121222120201101
43030330200303011
524020213240140
61325105100101
7151131021442
oct31474406305
98777876641
103438415045
11150499412a
127bb627631
1342a486120
1424892a9c9
15151ce499a
hexccf20cc5

3438415045 has 16 divisors (see below), whose sum is σ = 4452062832. Its totient is φ = 2534238720.

The previous prime is 3438415037. The next prime is 3438415093. The reversal of 3438415045 is 5405148343.

It is a Cunningham number, because it is equal to 586382+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1131245956 + 2307169089 = 33634^2 + 48033^2 .

It is not a de Polignac number, because 3438415045 - 23 = 3438415037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3438414995 and 3438415013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16902 + ... + 84631.

It is an arithmetic number, because the mean of its divisors is an integer number (278253927).

Almost surely, 23438415045 is an apocalyptic number.

It is an amenable number.

3438415045 is a deficient number, since it is larger than the sum of its proper divisors (1013647787).

3438415045 is a wasteful number, since it uses less digits than its factorization.

3438415045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102072.

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 3438415045 is about 58638.0000085269. Note that the first 5 decimals coincide. The cubic root of 3438415045 is about 1509.3365863425.

The spelling of 3438415045 in words is "three billion, four hundred thirty-eight million, four hundred fifteen thousand, forty-five".

Divisors: 1 5 13 65 521 2605 6773 33865 101533 507665 1319929 6599645 52898693 264493465 687683009 3438415045