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257143341 = 37137911923
BaseRepresentation
bin11110101001110…
…11001000101101
3122220212020100110
433110323020231
51011312041331
641303250233
76241453020
oct1724731055
9586766313
10257143341
11122172664
1272149979
1341373c30
14262191b7
1517895946
hexf53b22d

257143341 has 32 divisors (see below), whose sum is σ = 427356160. Its totient is φ = 133907904.

The previous prime is 257143301. The next prime is 257143361. The reversal of 257143341 is 143341752.

It is a happy number.

It is not a de Polignac number, because 257143341 - 26 = 257143277 is a prime.

It is a super-2 number, since 2×2571433412 = 132245395641284562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257143299 and 257143308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257143301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15606 + ... + 27528.

It is an arithmetic number, because the mean of its divisors is an integer number (13354880).

Almost surely, 2257143341 is an apocalyptic number.

257143341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257143341 is a deficient number, since it is larger than the sum of its proper divisors (170212819).

257143341 is a wasteful number, since it uses less digits than its factorization.

257143341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025.

The product of its digits is 10080, while the sum is 30.

The square root of 257143341 is about 16035.6896016355. The cubic root of 257143341 is about 635.9042986218.

The spelling of 257143341 in words is "two hundred fifty-seven million, one hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 7 13 21 39 79 91 237 273 553 1027 1659 3081 7189 11923 21567 35769 83461 154999 250383 464997 941917 1084993 2825751 3254979 6593419 12244921 19780257 36734763 85714447 257143341