Search a number
-
+
347145051636 = 22329642918101
BaseRepresentation
bin1010000110100110111…
…01010001110111110100
31020012001010122210110200
411003103131101313310
521141423113123021
6423250511120500
734036402152435
oct5032335216764
91205033583420
10347145051636
11124250371399
1257342213130
1326974272876
1412b3262748c
15906b5b3126
hex50d3751df4

347145051636 has 18 divisors (see below), whose sum is σ = 877505547282. Its totient is φ = 115715017200.

The previous prime is 347145051613. The next prime is 347145051637. The reversal of 347145051636 is 636150541743.

347145051636 is a `hidden beast` number, since 3 + 4 + 7 + 1 + 4 + 5 + 0 + 5 + 1 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235351116900 + 111793934736 = 485130^2 + 334356^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3471450516362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 347145051591 and 347145051600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347145051637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4821459015 + ... + 4821459086.

Almost surely, 2347145051636 is an apocalyptic number.

347145051636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

347145051636 is an abundant number, since it is smaller than the sum of its proper divisors (530360495646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

347145051636 is a wasteful number, since it uses less digits than its factorization.

347145051636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642918111 (or 9642918106 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 347145051636 in words is "three hundred forty-seven billion, one hundred forty-five million, fifty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 9642918101 19285836202 28928754303 38571672404 57857508606 86786262909 115715017212 173572525818 347145051636