Search a number
-
+
234320856 = 233711211527
BaseRepresentation
bin11011111011101…
…11001111011000
3121022220201210020
431331313033120
5434441231411
635130150440
75543460120
oct1575671730
9538821706
10234320856
111102a4800
1266582420
1339712bc3
1423197c80
1515888606
hexdf773d8

234320856 has 96 divisors (see below), whose sum is σ = 735947520. Its totient is φ = 60857280.

The previous prime is 234320851. The next prime is 234320857. The reversal of 234320856 is 658023432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234320851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14565 + ... + 26091.

It is an arithmetic number, because the mean of its divisors is an integer number (7666120).

Almost surely, 2234320856 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 234320856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367973760).

234320856 is an abundant number, since it is smaller than the sum of its proper divisors (501626664).

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

234320856 is a wasteful number, since it uses less digits than its factorization.

234320856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 234320856 is about 15307.5424546202. The cubic root of 234320856 is about 616.5055373843.

The spelling of 234320856 in words is "two hundred thirty-four million, three hundred twenty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 11527 20328 23054 34581 46108 69162 80689 92216 126797 138324 161378 242067 253594 276648 322756 380391 484134 507188 645512 760782 887579 968268 1014376 1394767 1521564 1775158 1936536 2662737 2789534 3043128 3550316 4184301 5325474 5579068 7100632 8368602 9763369 10650948 11158136 16737204 19526738 21301896 29290107 33474408 39053476 58580214 78106952 117160428 234320856