Search a number
-
+
463398 = 23132457
BaseRepresentation
bin1110001001000100110
3212112122220
41301020212
5104312043
613533210
73640005
oct1611046
9775586
10463398
11297181
121a4206
13132c00
14c0c3c
1592483
hex71226

463398 has 24 divisors (see below), whose sum is σ = 1005768. Its totient is φ = 142272.

The previous prime is 463387. The next prime is 463399. The reversal of 463398 is 893364.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (41907).

2463398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502884).

463398 is an abundant number, since it is smaller than the sum of its proper divisors (542370).

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

463398 is a wasteful number, since it uses less digits than its factorization.

463398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 463398 is about 680.7334280025. The cubic root of 463398 is about 77.3840374643.

It can be divided in two parts, 463 and 398, that added together give a triangular number (861 = T41).

The spelling of 463398 in words is "four hundred sixty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 169 338 457 507 914 1014 1371 2742 5941 11882 17823 35646 77233 154466 231699 463398