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34235226361 = 7219418391069
BaseRepresentation
bin11111111000100101…
…000001100011111001
310021100220121200201201
4133320211001203321
51030103204220421
623421043414201
72321244423400
oct377045014371
9107326550651
1034235226361
1113578990306
126775384361
1332c79558bb
14192ab10637
15d55865b91
hex7f89418f9

34235226361 has 48 divisors (see below), whose sum is σ = 43034544000. Its totient is φ = 27064316160.

The previous prime is 34235226343. The next prime is 34235226379. The reversal of 34235226361 is 16362253243.

It is an interprime number because it is at equal distance from previous prime (34235226343) and next prime (34235226379).

It is not a de Polignac number, because 34235226361 - 217 = 34235095289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34235226361.

It is not an unprimeable number, because it can be changed into a prime (34235226301) 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 47 ways as a sum of consecutive naturals, for example, 32024935 + ... + 32026003.

It is an arithmetic number, because the mean of its divisors is an integer number (896553000).

Almost surely, 234235226361 is an apocalyptic number.

It is an amenable number.

34235226361 is a deficient number, since it is larger than the sum of its proper divisors (8799317639).

34235226361 is a wasteful number, since it uses less digits than its factorization.

34235226361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1975 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

The spelling of 34235226361 in words is "thirty-four billion, two hundred thirty-five million, two hundred twenty-six thousand, three hundred sixty-one".

Divisors: 1 7 19 41 49 133 287 779 839 931 1069 2009 5453 5873 7483 15941 20311 34399 38171 41111 43829 52381 111587 142177 240793 306803 653581 781109 832751 896891 995239 1685551 2147621 4575067 5829257 6278237 17040929 32025469 36772531 40804799 43947659 119286503 257407717 698678089 835005521 1801854019 4890746623 34235226361