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34000040881 = 23280172
BaseRepresentation
bin11111101010100011…
…110111001110110001
310020202112002000220101
4133222203313032301
51024113002302011
623341442512401
72312360402422
oct375243671661
9106675060811
1034000040881
1113468155a44
12670a665701
13328accc2b1
1419077ad649
15d3edab2c1
hex7ea8f73b1

34000040881 has 9 divisors (see below), whose sum is σ = 35547009771. Its totient is φ = 32517721632.

The previous prime is 34000040869. The next prime is 34000040939. The reversal of 34000040881 is 18804000043.

The square root of 34000040881 is 184391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19651834225 + 14348206656 = 140185^2 + 119784^2 .

It is not a de Polignac number, because 34000040881 - 227 = 33865823153 is a prime.

It is a super-2 number, since 2×340000408812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34000040801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4236985 + ... + 4245001.

Almost surely, 234000040881 is an apocalyptic number.

34000040881 is the 184391-st square number.

34000040881 is the 92196-th centered octagonal number.

It is an amenable number.

34000040881 is a deficient number, since it is larger than the sum of its proper divisors (1546968890).

34000040881 is an frugal number, since it uses more digits than its factorization.

34000040881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16080 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 34000040881 in words is "thirty-four billion, forty thousand, eight hundred eighty-one".

Divisors: 1 23 529 8017 184391 4240993 64272289 1478262647 34000040881