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34036256643 = 37311313110499
BaseRepresentation
bin11111101100101110…
…000000111110000011
310020212001012222120220
4133230232000332003
51024201240203033
623345215034123
72313310256634
oct375456007603
9106761188526
1034036256643
1113486641424
12671a80b943
13329566c53c
14190c51988b
15d43161bb3
hex7ecb80f83

34036256643 has 32 divisors (see below), whose sum is σ = 46769184000. Its totient is φ = 22010526720.

The previous prime is 34036256633. The next prime is 34036256647. The reversal of 34036256643 is 34665263043.

It is not a de Polignac number, because 34036256643 - 24 = 34036256627 is a prime.

It is a super-3 number, since 3×340362566433 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34036256595 and 34036256604.

It is not an unprimeable number, because it can be changed into a prime (34036256647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236608 + ... + 3247106.

It is an arithmetic number, because the mean of its divisors is an integer number (1461537000).

Almost surely, 234036256643 is an apocalyptic number.

34036256643 is a deficient number, since it is larger than the sum of its proper divisors (12732927357).

34036256643 is a wasteful number, since it uses less digits than its factorization.

34036256643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819.

The product of its (nonzero) digits is 933120, while the sum is 42.

Subtracting 34036256643 from its reverse (34665263043), we obtain a square (629006400 = 250802).

The spelling of 34036256643 in words is "thirty-four billion, thirty-six million, two hundred fifty-six thousand, six hundred forty-three".

Divisors: 1 3 73 113 131 219 339 393 8249 9563 10499 14803 24747 28689 31497 44409 766427 1080619 1186387 1375369 2299281 3241857 3559161 4126107 86606251 100401937 155416697 259818753 301205811 466250091 11345418881 34036256643