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431042000 = 2453215521
BaseRepresentation
bin11001101100010…
…010110111010000
31010001002012110112
4121230102313100
51340321321000
6110434420452
713452540134
oct3154226720
91101065415
10431042000
11201348264
12100431728
136b3bc94c
14413653c4
1527c96235
hex19b12dd0

431042000 has 40 divisors (see below), whose sum is σ = 1042264392. Its totient is φ = 172416000.

The previous prime is 431041981. The next prime is 431042047. The reversal of 431042000 is 240134.

It can be written as a sum of positive squares in 4 ways, for example, as 9314704 + 421727296 = 3052^2 + 20536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 105761 + ... + 109760.

Almost surely, 2431042000 is an apocalyptic number.

431042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431042000 is an abundant number, since it is smaller than the sum of its proper divisors (611222392).

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

431042000 is a wasteful number, since it uses less digits than its factorization.

431042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215544 (or 215528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 431042000 is about 20761.5510017917. The cubic root of 431042000 is about 755.3934180474.

Adding to 431042000 its reverse (240134), we get a palindrome (431282134).

The spelling of 431042000 in words is "four hundred thirty-one million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 215521 431042 862084 1077605 1724168 2155210 3448336 4310420 5388025 8620840 10776050 17241680 21552100 26940125 43104200 53880250 86208400 107760500 215521000 431042000