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431220040 = 23567160903
BaseRepresentation
bin11001101100111…
…110010101001000
31010001102020200121
4121230332111020
51340343020130
6110442313024
713454211166
oct3154762510
91101366617
10431220040
11201459aa9
121004b8774
136b4529b4
14413b0236
1527ccdd7a
hex19b3e548

431220040 has 32 divisors (see below), whose sum is σ = 984732480. Its totient is φ = 169912512.

The previous prime is 431220019. The next prime is 431220059. The reversal of 431220040 is 40022134.

It is a junction number, because it is equal to n+sod(n) for n = 431219996 and 431220023.

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, 77772 + ... + 83131.

It is an arithmetic number, because the mean of its divisors is an integer number (30772890).

Almost surely, 2431220040 is an apocalyptic number.

431220040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431220040 is an abundant number, since it is smaller than the sum of its proper divisors (553512440).

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

431220040 is a wasteful number, since it uses less digits than its factorization.

431220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160981 (or 160977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 431220040 is about 20765.8382927345. The cubic root of 431220040 is about 755.4974077062.

Adding to 431220040 its reverse (40022134), we get a palindrome (471242174).

The spelling of 431220040 in words is "four hundred thirty-one million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 160903 321806 643612 804515 1287224 1609030 3218060 6436120 10780501 21561002 43122004 53902505 86244008 107805010 215610020 431220040