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3432205417 = 97157225373
BaseRepresentation
bin1100110010010011…
…0100110001101001
322212012022002201011
43030210310301221
524012121033132
61324324023521
7151024156534
oct31444646151
98765262634
103432205417
111501432803
127b9531ba1
134290c08a4
14247b91a1b
151514b9b47
hexcc934c69

3432205417 has 8 divisors (see below), whose sum is σ = 3489691016. Its totient is φ = 3375171072.

The previous prime is 3432205411. The next prime is 3432205421. The reversal of 3432205417 is 7145022343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 402363481 + 3029841936 = 20059^2 + 55044^2 .

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 3432205417 - 231 = 1284721769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3432205411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97458 + ... + 127915.

It is an arithmetic number, because the mean of its divisors is an integer number (436211377).

Almost surely, 23432205417 is an apocalyptic number.

It is an amenable number.

3432205417 is a deficient number, since it is larger than the sum of its proper divisors (57485599).

3432205417 is a wasteful number, since it uses less digits than its factorization.

3432205417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225627.

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 3432205417 is about 58585.0272424619. The cubic root of 3432205417 is about 1508.4274400903.

It can be divided in two parts, 3432 and 205417, that added together give a square (208849 = 4572).

The spelling of 3432205417 in words is "three billion, four hundred thirty-two million, two hundred five thousand, four hundred seventeen".

Divisors: 1 97 157 15229 225373 21861181 35383561 3432205417