Search a number
-
+
8235344 = 2413172137
BaseRepresentation
bin11111011010100101010000
3120111101202202
4133122211100
54102012334
6452302332
7126666515
oct37324520
916441682
108235344
114715377
1229119a8
1319245b0
14114530c
15aca17e
hex7da950

8235344 has 60 divisors (see below), whose sum is σ = 18386844. Its totient is φ = 3551232.

The previous prime is 8235329. The next prime is 8235371. The reversal of 8235344 is 4435328.

8235344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 169744 + 8065600 = 412^2 + 2840^2 .

Its product of digits (11520) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60044 + ... + 60180.

Almost surely, 28235344 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 8235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193422).

8235344 is an abundant number, since it is smaller than the sum of its proper divisors (10151500).

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

8235344 is a wasteful number, since it uses less digits than its factorization.

8235344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 8235344 is about 2869.7289070573. The cubic root of 8235344 is about 201.9422767459.

The spelling of 8235344 in words is "eight million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 137 208 221 272 274 289 442 548 578 884 1096 1156 1768 1781 2192 2312 2329 3536 3562 3757 4624 4658 7124 7514 9316 14248 15028 18632 28496 30056 30277 37264 39593 60112 60554 79186 121108 158372 242216 316744 484432 514709 633488 1029418 2058836 4117672 8235344