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34681769 = 232531237
BaseRepresentation
bin1000010001001…
…1001110101001
32102021000102222
42010103032221
532334304034
63235203425
7600535013
oct204231651
972230388
1034681769
1118638a21
12b746575
137253c75
14486b1b3
1530a112e
hex21133a9

34681769 has 12 divisors (see below), whose sum is σ = 36969156. Its totient is φ = 32521632.

The previous prime is 34681763. The next prime is 34681781. The reversal of 34681769 is 96718643.

It can be written as a sum of positive squares in 2 ways, for example, as 25603600 + 9078169 = 5060^2 + 3013^2 .

It is not a de Polignac number, because 34681769 - 24 = 34681753 is a prime.

It is a super-2 number, since 2×346817692 = 2405650201938722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34681763) 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 11 ways as a sum of consecutive naturals, for example, 27419 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (3080763).

Almost surely, 234681769 is an apocalyptic number.

It is an amenable number.

34681769 is a deficient number, since it is larger than the sum of its proper divisors (2287387).

34681769 is a wasteful number, since it uses less digits than its factorization.

34681769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 34681769 is about 5889.1229397933. The cubic root of 34681769 is about 326.1122256548.

The spelling of 34681769 in words is "thirty-four million, six hundred eighty-one thousand, seven hundred sixty-nine".

Divisors: 1 23 53 529 1219 1237 28037 28451 65561 654373 1507903 34681769