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431028 = 223313307
BaseRepresentation
bin1101001001110110100
3210220021000
41221032310
5102243103
613123300
73443433
oct1511664
9726230
10431028
11274924
12189530
13121260
14b311a
1587aa3
hex693b4

431028 has 48 divisors (see below), whose sum is σ = 1207360. Its totient is φ = 132192.

The previous prime is 431021. The next prime is 431029. The reversal of 431028 is 820134.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 431028.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431028.

It is not an unprimeable number, because it can be changed into a prime (431021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 1557.

2431028 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 431028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603680).

431028 is an abundant number, since it is smaller than the sum of its proper divisors (776332).

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

431028 is a wasteful number, since it uses less digits than its factorization.

431028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 431028 is about 656.5272271582. The cubic root of 431028 is about 75.5385239709.

The spelling of 431028 in words is "four hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 307 351 468 614 702 921 1228 1404 1842 2763 3684 3991 5526 7982 8289 11052 11973 15964 16578 23946 33156 35919 47892 71838 107757 143676 215514 431028