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3430120023 = 3211312115297
BaseRepresentation
bin1100110001110011…
…0111101001010111
322212001101011002100
43030130313221113
524011102320043
61324211213143
7151000352631
oct31434675127
98761334070
103430120023
111500238a40
127b88a71b3
13428840625
142477aba51
15151206cd3
hexcc737a57

3430120023 has 48 divisors (see below), whose sum is σ = 5606894592. Its totient is φ = 2001888000.

The previous prime is 3430119997. The next prime is 3430120037. The reversal of 3430120023 is 3200210343.

It is not a de Polignac number, because 3430120023 - 25 = 3430119991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3430119978 and 3430120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430120223) 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, 644911 + ... + 650207.

It is an arithmetic number, because the mean of its divisors is an integer number (116810304).

Almost surely, 23430120023 is an apocalyptic number.

3430120023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3430120023 is a deficient number, since it is larger than the sum of its proper divisors (2176774569).

3430120023 is a wasteful number, since it uses less digits than its factorization.

3430120023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3430120023 is about 58567.2265264457. The cubic root of 3430120023 is about 1508.1218734100.

Adding to 3430120023 its reverse (3200210343), we get a palindrome (6630330366).

The spelling of 3430120023 in words is "three billion, four hundred thirty million, one hundred twenty thousand, twenty-three".

Divisors: 1 3 9 11 31 33 93 99 211 279 341 633 1023 1899 2321 3069 5297 6541 6963 15891 19623 20889 47673 58267 58869 71951 164207 174801 215853 492621 524403 647559 1117667 1477863 1806277 3353001 5418831 10059003 12294337 16256493 34647677 36883011 103943031 110649033 311829093 381124447 1143373341 3430120023