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431244 = 2234113
BaseRepresentation
bin1101001010010001100
3210220120000
41221102030
5102244434
613124300
73444162
oct1512214
9726500
10431244
11275000
12189690
13121398
14b3232
1587b99
hex6948c

431244 has 60 divisors (see below), whose sum is σ = 1240008. Its totient is φ = 130680.

The previous prime is 431237. The next prime is 431251. The reversal of 431244 is 442134.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (431237) and next prime (431251).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (384) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39199 + ... + 39209.

2431244 is an apocalyptic number.

431244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620004).

431244 is an abundant number, since it is smaller than the sum of its proper divisors (808764).

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

431244 is a wasteful number, since it uses less digits than its factorization.

431244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 16 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 431244 is about 656.6917084904. The cubic root of 431244 is about 75.5511400085.

Multiplying 431244 by its sum of digits (18), we get a cube (7762392 = 1983).

Adding to 431244 its reverse (442134), we get a palindrome (873378).

It can be divided in two parts, 4312 and 44, that added together give a square (4356 = 662).

The spelling of 431244 in words is "four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1331 1452 1782 2178 2662 3267 3564 3993 4356 5324 6534 7986 9801 11979 13068 15972 19602 23958 35937 39204 47916 71874 107811 143748 215622 431244