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431420401 = 9714533061
BaseRepresentation
bin11001101101101…
…111001111110001
31010001210102112101
4121231233033301
51340420423101
6110450500401
713456004266
oct3155571761
91101712471
10431420401
11201586595
12100594701
136b4c2c59
144142326d
1527d1d401
hex19b6f3f1

431420401 has 8 divisors (see below), whose sum is σ = 436310504. Its totient is φ = 426539520.

The previous prime is 431420399. The next prime is 431420461. The reversal of 431420401 is 104024134.

It can be written as a sum of positive squares in 4 ways, for example, as 291589776 + 139830625 = 17076^2 + 11825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431420401 - 21 = 431420399 is a prime.

It is a super-2 number, since 2×4314204012 = 372247124798001602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431420461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139411 + ... + 142471.

It is an arithmetic number, because the mean of its divisors is an integer number (54538813).

Almost surely, 2431420401 is an apocalyptic number.

It is an amenable number.

431420401 is a deficient number, since it is larger than the sum of its proper divisors (4890103).

431420401 is a wasteful number, since it uses less digits than its factorization.

431420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 431420401 is about 20770.6620260405. The cubic root of 431420401 is about 755.6144003965.

Adding to 431420401 its reverse (104024134), we get a palindrome (535444535).

The spelling of 431420401 in words is "four hundred thirty-one million, four hundred twenty thousand, four hundred one".

Divisors: 1 97 1453 3061 140941 296917 4447633 431420401