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34044421032 = 23324657101533
BaseRepresentation
bin11111101101001101…
…001010001110101000
310020212121120210000200
4133231031022032220
51024210332433112
623350110032200
72313436542546
oct375515121650
9106777523020
1034044421032
1113490208456
1267214a8660
13329726a73b
14190d642d96
15d43c25cdc
hex7ed34a3a8

34044421032 has 48 divisors (see below), whose sum is σ = 92224347540. Its totient is φ = 11345591808.

The previous prime is 34044421009. The next prime is 34044421063. The reversal of 34044421032 is 23012444043.

It is a happy number.

34044421032 is a `hidden beast` number, since 3 + 4 + 0 + 444 + 210 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27600505956 + 6443915076 = 166134^2 + 80274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34044420987 and 34044421005.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 284538 + ... + 386070.

Almost surely, 234044421032 is an apocalyptic number.

It is an amenable number.

34044421032 is an abundant number, since it is smaller than the sum of its proper divisors (58179926508).

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

34044421032 is a wasteful number, since it uses less digits than its factorization.

34044421032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106202 (or 106195 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34044421032 its reverse (23012444043), we get a palindrome (57056865075).

The spelling of 34044421032 in words is "thirty-four billion, forty-four million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4657 9314 13971 18628 27942 37256 41913 55884 83826 101533 111768 167652 203066 304599 335304 406132 609198 812264 913797 1218396 1827594 2436792 3655188 7310376 472839181 945678362 1418517543 1891356724 2837035086 3782713448 4255552629 5674070172 8511105258 11348140344 17022210516 34044421032