Search a number
-
+
468356 = 22743389
BaseRepresentation
bin1110010010110000100
3212210110112
41302112010
5104441411
614012152
73660320
oct1622604
9783415
10468356
1129a979
121a7058
13135245
14c2980
1593b8b
hex72584

468356 has 24 divisors (see below), whose sum is σ = 960960. Its totient is φ = 195552.

The previous prime is 468353. The next prime is 468359. The reversal of 468356 is 653864.

It is an interprime number because it is at equal distance from previous prime (468353) and next prime (468359).

It is not an unprimeable number, because it can be changed into a prime (468353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2468356 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 468356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480480).

468356 is an abundant number, since it is smaller than the sum of its proper divisors (492604).

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

468356 is a wasteful number, since it uses less digits than its factorization.

468356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 468356 is about 684.3653994760. The cubic root of 468356 is about 77.6590421106.

The spelling of 468356 in words is "four hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 86 172 301 389 602 778 1204 1556 2723 5446 10892 16727 33454 66908 117089 234178 468356