Search a number
-
+
349848036 = 223228033467
BaseRepresentation
bin10100110110100…
…100000111100100
3220101022010021200
4110312210013210
51204030114121
654414242500
711445442056
oct2466440744
9811263250
10349848036
1116a53100a
12991b6430
1357631c95
143466b8d6
1520aa8a26
hex14da41e4

349848036 has 36 divisors (see below), whose sum is σ = 884908752. Its totient is φ = 116540784.

The previous prime is 349848019. The next prime is 349848077. The reversal of 349848036 is 630848943.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 349847982 and 349848000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99175 + ... + 102641.

Almost surely, 2349848036 is an apocalyptic number.

349848036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349848036 is an abundant number, since it is smaller than the sum of its proper divisors (535060716).

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

349848036 is a wasteful number, since it uses less digits than its factorization.

349848036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 349848036 is about 18704.2250841889. The cubic root of 349848036 is about 704.6278645650.

The spelling of 349848036 in words is "three hundred forty-nine million, eight hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2803 3467 5606 6934 8409 10401 11212 13868 16818 20802 25227 31203 33636 41604 50454 62406 100908 124812 9718001 19436002 29154003 38872004 58308006 87462009 116616012 174924018 349848036