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349086012220 = 225114873258223
BaseRepresentation
bin1010001010001110010…
…01011101001100111100
31020101001101220210211201
411011013021131030330
521204412004342340
6424211244425244
734135451100601
oct5050711351474
91211041823751
10349086012220
11125056a53850
12577a4248224
1326bc341825a
1412c783146a8
159131bb279a
hex514725d33c

349086012220 has 48 divisors (see below), whose sum is σ = 801366709248. Its totient is φ = 126679671360.

The previous prime is 349086012217. The next prime is 349086012269. The reversal of 349086012220 is 22210680943.

It is a happy number.

It is a super-2 number, since 2×3490860122202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 349086012220.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1521972 + ... + 1736251.

It is an arithmetic number, because the mean of its divisors is an integer number (16695139776).

Almost surely, 2349086012220 is an apocalyptic number.

It is an amenable number.

349086012220 is an abundant number, since it is smaller than the sum of its proper divisors (452280697028).

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

349086012220 is a wasteful number, since it uses less digits than its factorization.

349086012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258730 (or 3258728 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 349086012220 in words is "three hundred forty-nine billion, eighty-six million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 487 974 1948 2435 4870 5357 9740 10714 21428 26785 53570 107140 3258223 6516446 13032892 16291115 32582230 35840453 65164460 71680906 143361812 179202265 358404530 716809060 1586754601 3173509202 6347018404 7933773005 15867546010 17454300611 31735092020 34908601222 69817202444 87271503055 174543006110 349086012220