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34260406243 = 771101682519
BaseRepresentation
bin11111111010000101…
…000100111111100011
310021102122222222000221
4133322011010333203
51030131130444433
623423343223511
72322001435210
oct377205047743
9107378888027
1034260406243
1113591119328
1267818a7b97
1332ccc3093b
1419301c6b07
15d57b8b72d
hex7fa144fe3

34260406243 has 16 divisors (see below), whose sum is σ = 40099415040. Its totient is φ = 28665756000.

The previous prime is 34260406199. The next prime is 34260406259.

34260406243 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34260406243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34260406199 and 34260406208.

It is not an unprimeable number, because it can be changed into a prime (34260406273) 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, 291063 + ... + 391456.

It is an arithmetic number, because the mean of its divisors is an integer number (2506213440).

Almost surely, 234260406243 is an apocalyptic number.

34260406243 is a deficient number, since it is larger than the sum of its proper divisors (5839008797).

34260406243 is a wasteful number, since it uses less digits than its factorization.

34260406243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682698.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 34260406243 in words is "thirty-four billion, two hundred sixty million, four hundred six thousand, two hundred forty-three".

Divisors: 1 7 71 101 497 707 7171 50197 682519 4777633 48458849 68934419 339211943 482540933 4894343749 34260406243