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254320001 = 1331220357
BaseRepresentation
bin11110010100010…
…01110110000001
3122201112210110022
433022021312001
51010101220001
641122543225
76205453505
oct1712116601
9581483408
10254320001
11120614421
1271207b15
13408c5b10
1425ac2305
15174d911b
hexf289d81

254320001 has 12 divisors (see below), whose sum is σ = 283016916. Its totient is φ = 227172960.

The previous prime is 254319973. The next prime is 254320009. The reversal of 254320001 is 100023452.

It can be written as a sum of positive squares in 2 ways, for example, as 88811776 + 165508225 = 9424^2 + 12865^2 .

It is not a de Polignac number, because 254320001 - 226 = 187211137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254320009) 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, 2315 + ... + 22671.

It is an arithmetic number, because the mean of its divisors is an integer number (23584743).

Almost surely, 2254320001 is an apocalyptic number.

It is an amenable number.

254320001 is a deficient number, since it is larger than the sum of its proper divisors (28696915).

254320001 is a wasteful number, since it uses less digits than its factorization.

254320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432 (or 20401 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 254320001 is about 15947.4136147527. The cubic root of 254320001 is about 633.5683961862.

Adding to 254320001 its reverse (100023452), we get a palindrome (354343453).

The spelling of 254320001 in words is "two hundred fifty-four million, three hundred twenty thousand, one".

Divisors: 1 13 31 403 961 12493 20357 264641 631067 8203871 19563077 254320001