Search a number
-
+
34304241114301 = 311285148777933
BaseRepresentation
bin1111100110011000101000…
…00110110001110010111101
311111110110020112201102020211
413303030110012301302331
513444020041211124201
6200543052324112421
710140254034244504
oct763142406616275
9144413215642224
1034304241114301
11aa2638a887964
123a20484b35711
13161ab50909072
14868496bc783b
153e74ea944651
hex1f33141b1cbd

34304241114301 has 16 divisors (see below), whose sum is σ = 34438014718848. Its totient is φ = 34170627672000.

The previous prime is 34304241114293. The next prime is 34304241114331. The reversal of 34304241114301 is 10341114240343.

It is a cyclic number.

It is not a de Polignac number, because 34304241114301 - 23 = 34304241114293 is a prime.

It is a super-2 number, since 2×343042411143012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34304241114331) 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, 4324241731 + ... + 4324249663.

It is an arithmetic number, because the mean of its divisors is an integer number (2152375919928).

Almost surely, 234304241114301 is an apocalyptic number.

It is an amenable number.

34304241114301 is a deficient number, since it is larger than the sum of its proper divisors (133773604547).

34304241114301 is a wasteful number, since it uses less digits than its factorization.

34304241114301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 34304241114301 its reverse (10341114240343), we get a palindrome (44645355354644).

The spelling of 34304241114301 in words is "thirty-four trillion, three hundred four billion, two hundred forty-one million, one hundred fourteen thousand, three hundred one".

Divisors: 1 311 2851 4877 7933 886661 1516747 2467163 13904327 22616983 38689241 4324245697 7033881713 12032353951 110303026091 34304241114301