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34334261 = 1337411741
BaseRepresentation
bin1000001011111…
…0011000110101
32101121100202022
42002332120311
532242144021
63223522525
7564556613
oct202763065
971540668
1034334261
1118420925
12b5b9445
137161a40
1447ba6b3
1530331ab
hex20be635

34334261 has 16 divisors (see below), whose sum is σ = 38923248. Its totient is φ = 30067200.

The previous prime is 34334257. The next prime is 34334281. The reversal of 34334261 is 16243343.

It is a happy number.

34334261 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 8 ways, for example, as 11771761 + 22562500 = 3431^2 + 4750^2 .

It is a cyclic number.

It is not a de Polignac number, because 34334261 - 22 = 34334257 is a prime.

It is a super-2 number, since 2×343342612 = 2357682956832242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34334261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334281) 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 15 ways as a sum of consecutive naturals, for example, 18851 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (2432703).

Almost surely, 234334261 is an apocalyptic number.

It is an amenable number.

34334261 is a deficient number, since it is larger than the sum of its proper divisors (4588987).

34334261 is a wasteful number, since it uses less digits than its factorization.

34334261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its digits is 5184, while the sum is 26.

The square root of 34334261 is about 5859.5444362169. The cubic root of 34334261 is about 325.0193629489.

The spelling of 34334261 in words is "thirty-four million, three hundred thirty-four thousand, two hundred sixty-one".

Divisors: 1 13 37 41 481 533 1517 1741 19721 22633 64417 71381 837421 927953 2641097 34334261