Search a number
-
+
343787868 = 223337227379
BaseRepresentation
bin10100011111011…
…100100101011100
3212221220020022000
4110133130211130
51201002202433
654040322300
711343101664
oct2437344534
9787806260
10343787868
11167071a06
1297173390
13562bc798
14339311a4
15202ad113
hex147dc95c

343787868 has 96 divisors (see below), whose sum is σ = 921849600. Its totient is φ = 110714688.

The previous prime is 343787863. The next prime is 343787869. The reversal of 343787868 is 868787343.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343787863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906903 + ... + 907281.

It is an arithmetic number, because the mean of its divisors is an integer number (9602600).

Almost surely, 2343787868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343787868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460924800).

343787868 is an abundant number, since it is smaller than the sum of its proper divisors (578061732).

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

343787868 is a wasteful number, since it uses less digits than its factorization.

343787868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 343787868 is about 18541.5174136315. The cubic root of 343787868 is about 700.5355547800.

The spelling of 343787868 in words is "three hundred forty-three million, seven hundred eighty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 227 333 379 444 454 666 681 758 908 999 1137 1332 1362 1516 1998 2043 2274 2724 3411 3996 4086 4548 6129 6822 8172 8399 10233 12258 13644 14023 16798 20466 24516 25197 28046 33596 40932 42069 50394 56092 75591 84138 86033 100788 126207 151182 168276 172066 226773 252414 258099 302364 344132 378621 453546 504828 516198 757242 774297 907092 1032396 1514484 1548594 2322891 3097188 3183221 4645782 6366442 9291564 9549663 12732884 19099326 28648989 38198652 57297978 85946967 114595956 171893934 343787868