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34043224401 = 34420286721
BaseRepresentation
bin11111101101001000…
…100110000101010001
310020212112022222120000
4133231020212011101
51024210031140101
623350024240213
72313423430044
oct375510460521
9106775288500
1034043224401
111348a5703aa
126721010069
133296c3bb84
14190d410c5b
15d43a8b486
hex7ed226151

34043224401 has 10 divisors (see below), whose sum is σ = 50854693362. Its totient is φ = 22695482880.

The previous prime is 34043224373. The next prime is 34043224433. The reversal of 34043224401 is 10442234043.

It is a happy number.

34043224401 is a `hidden beast` number, since 34 + 0 + 4 + 3 + 224 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29583656001 + 4459568400 = 171999^2 + 66780^2 .

It is not a de Polignac number, because 34043224401 - 27 = 34043224273 is a prime.

It is a super-2 number, since 2×340432244012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34043224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 210143280 + ... + 210143441.

Almost surely, 234043224401 is an apocalyptic number.

It is an amenable number.

34043224401 is a deficient number, since it is larger than the sum of its proper divisors (16811468961).

34043224401 is an equidigital number, since it uses as much as digits as its factorization.

34043224401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420286733 (or 420286724 counting only the distinct ones).

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

Adding to 34043224401 its reverse (10442234043), we get a palindrome (44485458444).

The spelling of 34043224401 in words is "thirty-four billion, forty-three million, two hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 27 81 420286721 1260860163 3782580489 11347741467 34043224401