Search a number
-
+
34806317 = 7213101541
BaseRepresentation
bin1000010011000…
…1101000101101
32102111100021212
42010301220231
532402300232
63242004205
7601564100
oct204615055
972440255
1034806317
1118713557
12b7a6665
137298870
1448a0737
1530c7eb2
hex2131a2d

34806317 has 24 divisors (see below), whose sum is σ = 44116632. Its totient is φ = 27216000.

The previous prime is 34806313. The next prime is 34806329. The reversal of 34806317 is 71360843.

It can be written as a sum of positive squares in 4 ways, for example, as 6280036 + 28526281 = 2506^2 + 5341^2 .

It is not a de Polignac number, because 34806317 - 22 = 34806313 is a prime.

It is a super-2 number, since 2×348063172 = 2422959406208978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34806311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64067 + ... + 64607.

It is an arithmetic number, because the mean of its divisors is an integer number (1838193).

Almost surely, 234806317 is an apocalyptic number.

It is an amenable number.

34806317 is a deficient number, since it is larger than the sum of its proper divisors (9310315).

34806317 is a wasteful number, since it uses less digits than its factorization.

34806317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 34806317 is about 5899.6878730997. The cubic root of 34806317 is about 326.5021336965.

The spelling of 34806317 in words is "thirty-four million, eight hundred six thousand, three hundred seventeen".

Divisors: 1 7 13 49 91 101 541 637 707 1313 3787 4949 7033 9191 26509 49231 54641 64337 344617 382487 710333 2677409 4972331 34806317