Search a number
-
+
291234096 = 24332329311
BaseRepresentation
bin10001010110111…
…110000100110000
3202022000020002000
4101112332010300
51044023442341
644522054000
710134306666
oct2126760460
9668006060
10291234096
1113a43753a
128164a300
134844bb8a
142a970c36
151a87b8b6
hex115be130

291234096 has 80 divisors (see below), whose sum is σ = 872325120. Its totient is φ = 92854080.

The previous prime is 291234079. The next prime is 291234107. The reversal of 291234096 is 690432192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 291234096.

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 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 24591.

It is an arithmetic number, because the mean of its divisors is an integer number (10904064).

Almost surely, 2291234096 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 291234096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436162560).

291234096 is an abundant number, since it is smaller than the sum of its proper divisors (581091024).

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

291234096 is a wasteful number, since it uses less digits than its factorization.

291234096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29351 (or 29339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 291234096 is about 17065.5822051285. The cubic root of 291234096 is about 662.8481870216.

The spelling of 291234096 in words is "two hundred ninety-one million, two hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 29311 58622 87933 117244 175866 234488 263799 351732 468976 527598 674153 703464 791397 1055196 1348306 1406928 1582794 2022459 2110392 2696612 3165588 4044918 4220784 5393224 6067377 6331176 8089836 10786448 12134754 12662352 16179672 18202131 24269508 32359344 36404262 48539016 72808524 97078032 145617048 291234096