Search a number
-
+
34044444435 = 35193114472663
BaseRepresentation
bin11111101101001101…
…001111111100010011
310020212121121222010110
4133231031033330103
51024210334210220
623350110332403
72313440001021
oct375515177423
9106777558113
1034044444435
1113490223aa1
1267214ba103
1332972782a1
14190d64b711
15d43c2cbe0
hex7ed34ff13

34044444435 has 64 divisors (see below), whose sum is σ = 59250769920. Its totient is φ = 16628768640.

The previous prime is 34044444431. The next prime is 34044444449. The reversal of 34044444435 is 53444444043.

It is not a de Polignac number, because 34044444435 - 22 = 34044444431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34044444393 and 34044444402.

It is not an unprimeable number, because it can be changed into a prime (34044444431) 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 63 ways as a sum of consecutive naturals, for example, 12782914 + ... + 12785576.

It is an arithmetic number, because the mean of its divisors is an integer number (925793280).

Almost surely, 234044444435 is an apocalyptic number.

34044444435 is a deficient number, since it is larger than the sum of its proper divisors (25206325485).

34044444435 is a wasteful number, since it uses less digits than its factorization.

34044444435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168.

The product of its (nonzero) digits is 737280, while the sum is 39.

Adding to 34044444435 its reverse (53444444043), we get a palindrome (87488888478).

The spelling of 34044444435 in words is "thirty-four billion, forty-four million, four hundred forty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 15 19 31 57 93 95 155 285 465 589 1447 1767 2663 2945 4341 7235 7989 8835 13315 21705 27493 39945 44857 50597 82479 82553 134571 137465 151791 224285 247659 252985 412395 412765 672855 758955 852283 1238295 1568507 2556849 3853361 4261415 4705521 7842535 11560083 12784245 19266805 23527605 57800415 73213859 119454191 219641577 358362573 366069295 597270955 1098207885 1791812865 2269629629 6808888887 11348148145 34044444435