Search a number
-
+
431046 = 232711311
BaseRepresentation
bin1101001001111000110
3210220021200
41221033012
5102243141
613123330
73443460
oct1511706
9726250
10431046
11274940
12189546
13121275
14b3130
1587ab6
hex693c6

431046 has 48 divisors (see below), whose sum is σ = 1168128. Its totient is φ = 111600.

The previous prime is 431029. The next prime is 431047. The reversal of 431046 is 640134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431047) by changing a digit.

431046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (24336).

2431046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584064).

431046 is an abundant number, since it is smaller than the sum of its proper divisors (737082).

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

431046 is a wasteful number, since it uses less digits than its factorization.

431046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431046 is about 656.5409355097. The cubic root of 431046 is about 75.5395754683.

It can be divided in two parts, 4310 and 46, that added together give a square (4356 = 662).

The spelling of 431046 in words is "four hundred thirty-one thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 311 462 622 693 933 1386 1866 2177 2799 3421 4354 5598 6531 6842 10263 13062 19593 20526 23947 30789 39186 47894 61578 71841 143682 215523 431046