Search a number
-
+
34073403669 = 32181193108377
BaseRepresentation
bin11111101110111011…
…101110000100010101
310020221122010020201200
4133232323232010111
51024240242404134
623353023143113
72314241103204
oct375673560425
9106848106650
1034073403669
11134a5603548
12672b144a99
1332a0277626
14191342923b
15d4654d499
hex7eeeee115

34073403669 has 24 divisors (see below), whose sum is σ = 49745935512. Its totient is φ = 22472847360.

The previous prime is 34073403667. The next prime is 34073403713. The reversal of 34073403669 is 96630437043.

It can be written as a sum of positive squares in 4 ways, for example, as 5820164100 + 28253239569 = 76290^2 + 168087^2 .

It is not a de Polignac number, because 34073403669 - 21 = 34073403667 is a prime.

It is a super-2 number, since 2×340734036692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073403667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260209 + ... + 368585.

It is an arithmetic number, because the mean of its divisors is an integer number (2072747313).

Almost surely, 234073403669 is an apocalyptic number.

It is an amenable number.

34073403669 is a deficient number, since it is larger than the sum of its proper divisors (15672531843).

34073403669 is a wasteful number, since it uses less digits than its factorization.

34073403669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108757 (or 108754 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 34073403669 in words is "thirty-four billion, seventy-three million, four hundred three thousand, six hundred sixty-nine".

Divisors: 1 3 9 181 193 543 579 1629 1737 34933 104799 108377 314397 325131 975393 19616237 20916761 58848711 62750283 176546133 188250849 3785933741 11357801223 34073403669