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3311204430 = 2352317327739
BaseRepresentation
bin1100010101011100…
…1111100001001110
322112202121121120010
43011113033201032
523240132020210
61304322334050
7145024526142
oct30527174116
98482547503
103311204430
11144a0a7996
12784aba326
1340a006181
14235a95222
15145a67920
hexc55cf84e

3311204430 has 64 divisors (see below), whose sum is σ = 8340641280. Its totient is φ = 839684736.

The previous prime is 3311204417. The next prime is 3311204437. The reversal of 3311204430 is 344021133.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3311204397 and 3311204406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311204437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105501 + ... + 133239.

It is an arithmetic number, because the mean of its divisors is an integer number (130322520).

Almost surely, 23311204430 is an apocalyptic number.

3311204430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311204430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170320640).

3311204430 is an abundant number, since it is smaller than the sum of its proper divisors (5029436850).

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

3311204430 is a wasteful number, since it uses less digits than its factorization.

3311204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3311204430 is about 57543.0658724403. The cubic root of 3311204430 is about 1490.4886210334.

Adding to 3311204430 its reverse (344021133), we get a palindrome (3655225563).

The spelling of 3311204430 in words is "three billion, three hundred eleven million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 173 230 345 346 519 690 865 1038 1730 2595 3979 5190 7958 11937 19895 23874 27739 39790 55478 59685 83217 119370 138695 166434 277390 416085 637997 832170 1275994 1913991 3189985 3827982 4798847 6379970 9569955 9597694 14396541 19139910 23994235 28793082 47988470 71982705 110373481 143965410 220746962 331120443 551867405 662240886 1103734810 1655602215 3311204430