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3406242300 = 2235297117053
BaseRepresentation
bin1100101100000111…
…0010000111111100
322210101110001000020
43023001302013330
523433444223200
61321555332140
7150260403366
oct31301620774
98711401006
103406242300
11149880a28a
127b08b1050
134239001b6
14244553d36
1514e08bea0
hexcb0721fc

3406242300 has 72 divisors (see below), whose sum is σ = 9957081456. Its totient is φ = 898959360.

The previous prime is 3406242227. The next prime is 3406242331. The reversal of 3406242300 is 32426043.

It is a happy number.

3406242300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29427 + ... + 87626.

It is an arithmetic number, because the mean of its divisors is an integer number (138292798).

Almost surely, 23406242300 is an apocalyptic number.

3406242300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406242300 is an abundant number, since it is smaller than the sum of its proper divisors (6550839156).

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

3406242300 is a wasteful number, since it uses less digits than its factorization.

3406242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117167 (or 117160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3406242300 is about 58363.0216832542. The cubic root of 3406242300 is about 1504.6142799477.

Adding to 3406242300 its reverse (32426043), we get a palindrome (3438668343).

The spelling of 3406242300 in words is "three billion, four hundred six million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 117053 234106 351159 468212 585265 702318 1170530 1404636 1755795 2341060 2926325 3511590 5852650 7023180 8778975 11354141 11705300 17557950 22708282 34062423 35115900 45416564 56770705 68124846 113541410 136249692 170312115 227082820 283853525 340624230 567707050 681248460 851560575 1135414100 1703121150 3406242300