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254320434 = 23219799413
BaseRepresentation
bin11110010100010…
…01111100110010
3122201112211001100
433022021330302
51010101223214
641122545230
76205454664
oct1712117462
9581484040
10254320434
11120614785
1271208216
13408c6084
1425ac2534
15174d9309
hexf289f32

254320434 has 48 divisors (see below), whose sum is σ = 587433600. Its totient is φ = 79286688.

The previous prime is 254320433. The next prime is 254320441. The reversal of 254320434 is 434023452.

It is a junction number, because it is equal to n+sod(n) for n = 254320398 and 254320407.

It is not an unprimeable number, because it can be changed into a prime (254320433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22312 + ... + 31724.

It is an arithmetic number, because the mean of its divisors is an integer number (12238200).

Almost surely, 2254320434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254320434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293716800).

254320434 is an abundant number, since it is smaller than the sum of its proper divisors (333113166).

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

254320434 is a wasteful number, since it uses less digits than its factorization.

254320434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 254320434 is about 15947.4271906160. The cubic root of 254320434 is about 633.5687557529.

Adding to 254320434 its reverse (434023452), we get a palindrome (688343886).

The spelling of 254320434 in words is "two hundred fifty-four million, three hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 3002 4503 9006 9413 13509 18826 27018 28239 56478 84717 169434 178847 357694 536541 743627 1073082 1487254 1609623 2230881 3219246 4461762 6692643 13385286 14128913 28257826 42386739 84773478 127160217 254320434