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34421431304 = 2313536244817
BaseRepresentation
bin100000000011101011…
…010101110000001000
310021211212222212220002
4200003223111300020
51030443341300204
623451334422132
72325665224061
oct400353256010
9107755885802
1034421431304
1113664000897
126807801948
1333273bcb40
141947741568
15d66d9791e
hex803ad5c08

34421431304 has 32 divisors (see below), whose sum is σ = 70816236120. Its totient is φ = 15587060736.

The previous prime is 34421431271. The next prime is 34421431367. The reversal of 34421431304 is 40313412443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16892200900 + 17529230404 = 129970^2 + 132398^2 .

It is a super-2 number, since 2×344214313042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3116897 + ... + 3127920.

Almost surely, 234421431304 is an apocalyptic number.

It is an amenable number.

34421431304 is an abundant number, since it is smaller than the sum of its proper divisors (36394804816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34421431304 is a wasteful number, since it uses less digits than its factorization.

34421431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244889 (or 6244885 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34421431304 its reverse (40313412443), we get a palindrome (74734843747).

The spelling of 34421431304 in words is "thirty-four billion, four hundred twenty-one million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 6244817 12489634 24979268 49958536 81182621 162365242 324730484 330975301 649460968 661950602 1323901204 2647802408 4302678913 8605357826 17210715652 34421431304