Search a number
-
+
34340073400344 = 2335804924648769
BaseRepresentation
bin1111100111011011010111…
…11000000110100000011000
311111120212201202111011000010
413303231223320012200120
514000111432242302334
6201011340102241520
710142663013533655
oct763555370064030
9144525652434003
1034340073400344
11aa3a5a82107a8
123a274051262a0
1316213413a829a
1486a0d5a64c2c
153e83e65c80e9
hex1f3b6be06818

34340073400344 has 32 divisors (see below), whose sum is σ = 85851665910000. Its totient is φ = 11446493478912.

The previous prime is 34340073400343. The next prime is 34340073400357. The reversal of 34340073400344 is 44300437004343.

34340073400344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343400734003442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340073400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10931209 + ... + 13717560.

Almost surely, 234340073400344 is an apocalyptic number.

It is an amenable number.

34340073400344 is an abundant number, since it is smaller than the sum of its proper divisors (51511592509656).

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

34340073400344 is a wasteful number, since it uses less digits than its factorization.

34340073400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24706827 (or 24706823 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 39.

The spelling of 34340073400344 in words is "thirty-four trillion, three hundred forty billion, seventy-three million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 58049 116098 174147 232196 348294 464392 696588 1393176 24648769 49297538 73946307 98595076 147892614 197190152 295785228 591570456 1430836391681 2861672783362 4292509175043 5723345566724 8585018350086 11446691133448 17170036700172 34340073400344