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34343151642 = 2324001476869
BaseRepresentation
bin11111111111000000…
…101110100000011010
310021122102200212101100
4133333000232200122
51030313321323032
623435500532230
72324024654352
oct377700564032
9107572625340
1034343151642
11136238a5158
1267a5551076
133314112807
14193b1a5b62
15d6008397c
hex7ff02e81a

34343151642 has 24 divisors (see below), whose sum is σ = 74428915860. Its totient is φ = 11444832000.

The previous prime is 34343151611. The next prime is 34343151649. The reversal of 34343151642 is 24615134343.

34343151642 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 3 + 1 + 5 + 1 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34343131761 + 19881 = 185319^2 + 141^2 .

It is a super-3 number, since 3×343431516423 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34343151597 and 34343151606.

It is not an unprimeable number, because it can be changed into a prime (34343151649) 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 11 ways as a sum of consecutive naturals, for example, 166417 + ... + 310452.

Almost surely, 234343151642 is an apocalyptic number.

34343151642 is an abundant number, since it is smaller than the sum of its proper divisors (40085764218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34343151642 is a wasteful number, since it uses less digits than its factorization.

34343151642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480878 (or 480875 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 34343151642 its reverse (24615134343), we get a palindrome (58958285985).

The spelling of 34343151642 in words is "thirty-four billion, three hundred forty-three million, one hundred fifty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 4001 8002 12003 24006 36009 72018 476869 953738 1430607 2861214 4291821 8583642 1907952869 3815905738 5723858607 11447717214 17171575821 34343151642