Search a number
-
+
431326128 = 2439979013
BaseRepresentation
bin11001101101011…
…000001110110000
31010001121122012210
4121231120032300
51340404414003
6110444452120
713455132402
oct3155301660
91101548183
10431326128
11201521782
1210054a040
136b48c07c
14413dab72
1527d00503
hex19b583b0

431326128 has 40 divisors (see below), whose sum is σ = 1115500528. Its totient is φ = 143615232.

The previous prime is 431326099. The next prime is 431326151. The reversal of 431326128 is 821623134.

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

It is a junction number, because it is equal to n+sod(n) for n = 431326095 and 431326104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43350 + ... + 52362.

Almost surely, 2431326128 is an apocalyptic number.

431326128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

431326128 is an abundant number, since it is smaller than the sum of its proper divisors (684174400).

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

431326128 is a wasteful number, since it uses less digits than its factorization.

431326128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021 (or 10015 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 431326128 is about 20768.3925232551. The cubic root of 431326128 is about 755.5593580098.

The spelling of 431326128 in words is "four hundred thirty-one million, three hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 997 1994 2991 3988 5982 7976 9013 11964 15952 18026 23928 27039 36052 47856 54078 72104 108156 144208 216312 432624 8985961 17971922 26957883 35943844 53915766 71887688 107831532 143775376 215663064 431326128