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34042401020343 = 3769108079136531
BaseRepresentation
bin1111011110110000111010…
…01110000101100110110111
311110112102101110101110122010
413233120131032011212313
513430222314130122333
6200222510234135303
710112324301206412
oct757303516054667
9143472343343563
1034042401020343
11a93533498a8a1
12399978b281533
1315cc252872421
14859937b00b79
153e07c3444563
hex1ef61d3859b7

34042401020343 has 16 divisors (see below), whose sum is σ = 45449645964800. Its totient is φ = 22665046026240.

The previous prime is 34042401020273. The next prime is 34042401020387. The reversal of 34042401020343 is 34302010424043.

It is a happy number.

It is not a de Polignac number, because 34042401020343 - 217 = 34042400889271 is a prime.

It is a super-3 number, since 3×340424010203433 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34042401020343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042405020343) 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, 249269988 + ... + 249406518.

It is an arithmetic number, because the mean of its divisors is an integer number (2840602872800).

Almost surely, 234042401020343 is an apocalyptic number.

34042401020343 is a deficient number, since it is larger than the sum of its proper divisors (11407244944457).

34042401020343 is a wasteful number, since it uses less digits than its factorization.

34042401020343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245382.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34042401020343 its reverse (34302010424043), we get a palindrome (68344411444386).

The spelling of 34042401020343 in words is "thirty-four trillion, forty-two billion, four hundred one million, twenty thousand, three hundred forty-three".

Divisors: 1 3 769 2307 108079 136531 324237 409593 83112751 104992339 249338253 314977017 14756133949 44268401847 11347467006781 34042401020343