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431040 = 2635449
BaseRepresentation
bin1101001001111000000
3210220021110
41221033000
5102243130
613123320
73443451
oct1511700
9726243
10431040
11274935
12189540
1312126c
14b3128
1587ab0
hex693c0

431040 has 56 divisors (see below), whose sum is σ = 1371600. Its totient is φ = 114688.

The previous prime is 431029. The next prime is 431047. The reversal of 431040 is 40134.

431040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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

431040 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 7 ways as a sum of consecutive naturals, for example, 736 + ... + 1184.

2431040 is an apocalyptic number.

431040 is a gapful number since it is divisible by the number (40) 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 431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685800).

431040 is an abundant number, since it is smaller than the sum of its proper divisors (940560).

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

431040 is a wasteful number, since it uses less digits than its factorization.

431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 431040 is about 656.5363660910. The cubic root of 431040 is about 75.5392249724.

Adding to 431040 its reverse (40134), we get a palindrome (471174).

The spelling of 431040 in words is "four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 449 480 898 960 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 14368 17960 21552 26940 28736 35920 43104 53880 71840 86208 107760 143680 215520 431040