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432415397 = 412614217
BaseRepresentation
bin11001110001100…
…010001010100101
31010010122222102002
4121301202022211
51341144243042
6110524055045
713500320201
oct3161421245
91103588362
10432415397
112020a60a7
12100994485
136b780acb
1441601b01
1527e68132
hex19c622a5

432415397 has 12 divisors (see below), whose sum is σ = 450592068. Its totient is φ = 414854400.

The previous prime is 432415391. The next prime is 432415409. The reversal of 432415397 is 793514234.

It can be written as a sum of positive squares in 6 ways, for example, as 155725441 + 276689956 = 12479^2 + 16634^2 .

It is not a de Polignac number, because 432415397 - 210 = 432414373 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432415397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432415391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100433 + ... + 104649.

It is an arithmetic number, because the mean of its divisors is an integer number (37549339).

Almost surely, 2432415397 is an apocalyptic number.

It is an amenable number.

432415397 is a deficient number, since it is larger than the sum of its proper divisors (18176671).

432415397 is an equidigital number, since it uses as much as digits as its factorization.

432415397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4319 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 432415397 is about 20794.6001885105. The cubic root of 432415397 is about 756.1948520494.

The spelling of 432415397 in words is "four hundred thirty-two million, four hundred fifteen thousand, three hundred ninety-seven".

Divisors: 1 41 61 1681 2501 4217 102541 172897 257237 7088777 10546717 432415397