Search a number
-
+
34442411340 = 2235574040189
BaseRepresentation
bin100000000100111011…
…010111110101001100
310021220100110210002110
4200010323113311030
51031014224130330
623453404224020
72326341444261
oct400473276514
9107810423073
1034442411340
1113674930467
12681283b010
13332b85736c
14194a443268
15d68b3ddb0
hex804ed7d4c

34442411340 has 24 divisors (see below), whose sum is σ = 96438751920. Its totient is φ = 9184643008.

The previous prime is 34442411323. The next prime is 34442411363. The reversal of 34442411340 is 4311424443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34442411298 and 34442411307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287020035 + ... + 287020154.

It is an arithmetic number, because the mean of its divisors is an integer number (4018281330).

Almost surely, 234442411340 is an apocalyptic number.

34442411340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34442411340 is an abundant number, since it is smaller than the sum of its proper divisors (61996340580).

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

34442411340 is a wasteful number, since it uses less digits than its factorization.

34442411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574040201 (or 574040199 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34442411340 its reverse (4311424443), we get a palindrome (38753835783).

The spelling of 34442411340 in words is "thirty-four billion, four hundred forty-two million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 574040189 1148080378 1722120567 2296160756 2870200945 3444241134 5740401890 6888482268 8610602835 11480803780 17221205670 34442411340