Search a number
-
+
34346546444 = 22722729318443
BaseRepresentation
bin11111111111001101…
…101011010100001100
310021122200002100011202
4133333031223110030
51030320203441234
623440101405032
72324065553630
oct377715532414
9107580070152
1034346546444
1113625803781
1267a6709778
133314a30a82
14193b80adc0
15d6050477e
hex7ff36b50c

34346546444 has 48 divisors (see below), whose sum is σ = 69234939648. Its totient is φ = 14604293568.

The previous prime is 34346546419. The next prime is 34346546447. The reversal of 34346546444 is 44464564343.

It is not an unprimeable number, because it can be changed into a prime (34346546447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1853087 + ... + 1871529.

It is an arithmetic number, because the mean of its divisors is an integer number (1442394576).

Almost surely, 234346546444 is an apocalyptic number.

It is an amenable number.

34346546444 is an abundant number, since it is smaller than the sum of its proper divisors (34888393204).

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

34346546444 is a wasteful number, since it uses less digits than its factorization.

34346546444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18974 (or 18972 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 47.

The spelling of 34346546444 in words is "thirty-four billion, three hundred forty-six million, five hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 227 293 454 586 908 1172 1589 2051 3178 4102 6356 8204 18443 36886 66511 73772 129101 133022 258202 266044 465577 516404 931154 1862308 4186561 5403799 8373122 10807598 16746244 21615196 29305927 37826593 58611854 75653186 117223708 151306372 1226662373 2453324746 4906649492 8586636611 17173273222 34346546444