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34606036341 = 328953038147
BaseRepresentation
bin100000001110101011…
…100011010101110101
310022022202100210101200
4200032223203111311
51031333121130331
623521531243113
72333366312142
oct401653432565
9108282323350
1034606036341
1113749229338
1268595a9499
133356716aa6
1419640773c9
15d781b05e6
hex80eae3575

34606036341 has 24 divisors (see below), whose sum is σ = 50563880640. Its totient is φ = 22804368576.

The previous prime is 34606036301. The next prime is 34606036363. The reversal of 34606036341 is 14363060643.

34606036341 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 603 + 6 + 3 + 41 = 666.

34606036341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34606036341 - 26 = 34606036277 is a prime.

It is a super-2 number, since 2×346060363412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34606036296 and 34606036305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34606036301) 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, 4243630 + ... + 4251776.

It is an arithmetic number, because the mean of its divisors is an integer number (2106828360).

Almost surely, 234606036341 is an apocalyptic number.

It is an amenable number.

34606036341 is a deficient number, since it is larger than the sum of its proper divisors (15957844299).

34606036341 is a wasteful number, since it uses less digits than its factorization.

34606036341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13545 (or 13542 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 34606036341 its reverse (14363060643), we get a palindrome (48969096984).

The spelling of 34606036341 in words is "thirty-four billion, six hundred six million, thirty-six thousand, three hundred forty-one".

Divisors: 1 3 9 89 267 801 5303 8147 15909 24441 47727 73323 471967 725083 1415901 2175249 4247703 6525747 43203541 129610623 388831869 3845115149 11535345447 34606036341