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337861161 = 321125572
BaseRepresentation
bin10100001000110…
…101101000101001
3212112202010101100
4110020311220221
51142443024121
653305312013
711241525651
oct2410655051
9775663340
10337861161
11163794100
1295195609
1354cc5c61
1432c2b361
151e9dc026
hex14235a29

337861161 has 27 divisors (see below), whose sum is σ = 537385303. Its totient is φ = 204396720.

The previous prime is 337861159. The next prime is 337861169. The reversal of 337861161 is 161168733.

The square root of 337861161 is 18381.

It is a perfect power (a square), and thus also a powerful number.

337861161 is a `hidden beast` number, since 3 + 37 + 8 + 611 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29648025 + 308213136 = 5445^2 + 17556^2 .

It is not a de Polignac number, because 337861161 - 21 = 337861159 is a prime.

It is a super-2 number, since 2×3378611612 = 228300328224535842, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (337861169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 606295 + ... + 606851.

Almost surely, 2337861161 is an apocalyptic number.

337861161 is the 18381-st square number.

337861161 is the 9191-st centered octagonal number.

It is an amenable number.

337861161 is a deficient number, since it is larger than the sum of its proper divisors (199524142).

337861161 is an equidigital number, since it uses as much as digits as its factorization.

337861161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The cubic root of 337861161 is about 696.4865862654.

Multiplying 337861161 by its sum of digits (36), we get a square (12163001796 = 1102862).

The spelling of 337861161 in words is "three hundred thirty-seven million, eight hundred sixty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 557 1089 1671 5013 6127 18381 55143 67397 202191 310249 606573 930747 2792241 3412739 10238217 30714651 37540129 112620387 337861161