Search a number
-
+
34400020314 = 2311521212429
BaseRepresentation
bin100000000010011001…
…101010011101011010
310021210101201002112110
4200002121222131122
51030422401122224
623445251453150
72325315230262
oct400231523532
9107711632473
1034400020314
1113652a07460
1268005b71b6
133322b3440a
14194496a7a2
15d65068929
hex80266a75a

34400020314 has 16 divisors (see below), whose sum is σ = 75054589920. Its totient is φ = 10424248560.

The previous prime is 34400020309. The next prime is 34400020373. The reversal of 34400020314 is 41302000443.

It is a super-2 number, since 2×344000203142 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260606149 + ... + 260606280.

It is an arithmetic number, because the mean of its divisors is an integer number (4690911870).

Almost surely, 234400020314 is an apocalyptic number.

34400020314 is an abundant number, since it is smaller than the sum of its proper divisors (40654569606).

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

34400020314 is a wasteful number, since it uses less digits than its factorization.

34400020314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521212445.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34400020314 its reverse (41302000443), we get a palindrome (75702020757).

The spelling of 34400020314 in words is "thirty-four billion, four hundred million, twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 521212429 1042424858 1563637287 3127274574 5733336719 11466673438 17200010157 34400020314