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34855321 = 174015113
BaseRepresentation
bin1000010011110…
…1100110011001
32102120211111211
42010331212121
532410332241
63243023121
7602160004
oct204754631
972524454
1034855321
1118747356
12b80aaa1
1372b4c67
1448b453b
1530d7781
hex213d999

34855321 has 8 divisors (see below), whose sum is σ = 37004904. Its totient is φ = 32716800.

The previous prime is 34855319. The next prime is 34855349. The reversal of 34855321 is 12355843.

34855321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9211225 + 25644096 = 3035^2 + 5064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(34855321) divides (34855321-1)4.

It is a cyclic number.

It is not a de Polignac number, because 34855321 - 21 = 34855319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34855621) by changing a digit.

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, 4261 + ... + 9373.

It is an arithmetic number, because the mean of its divisors is an integer number (4625613).

Almost surely, 234855321 is an apocalyptic number.

It is an amenable number.

34855321 is a deficient number, since it is larger than the sum of its proper divisors (2149583).

34855321 is a wasteful number, since it uses less digits than its factorization.

34855321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531.

The product of its digits is 14400, while the sum is 31.

The square root of 34855321 is about 5903.8395134014. The cubic root of 34855321 is about 326.6552898764.

The spelling of 34855321 in words is "thirty-four million, eight hundred fifty-five thousand, three hundred twenty-one".

Divisors: 1 17 401 5113 6817 86921 2050313 34855321