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337420161 = 341321572
BaseRepresentation
bin10100000111001…
…001111110000001
3212111220201110000
4110013021332001
51142334421121
653252030213
711235011151
oct2407117601
9774821400
10337420161
11163512841
1295002369
1354ba0300
1432b54761
151e951526
hex141c9f81

337420161 has 45 divisors (see below), whose sum is σ = 549301401. Its totient is φ = 206320608.

The previous prime is 337420159. The next prime is 337420169. The reversal of 337420161 is 161024733.

The square root of 337420161 is 18369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 108805761 + 228614400 = 10431^2 + 15120^2 .

It is not a de Polignac number, because 337420161 - 21 = 337420159 is a prime.

It is a super-2 number, since 2×3374201612 = 227704730098531842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (337420169) 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 44 ways as a sum of consecutive naturals, for example, 2149095 + ... + 2149251.

Almost surely, 2337420161 is an apocalyptic number.

337420161 is the 18369-th square number.

337420161 is the 9185-th centered octagonal number.

It is an amenable number.

337420161 is a deficient number, since it is larger than the sum of its proper divisors (211881240).

337420161 is an equidigital number, since it uses as much as digits as its factorization.

337420161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 337420161 is about 696.1834199995.

Adding to 337420161 its reverse (161024733), we get a palindrome (498444894).

The spelling of 337420161 in words is "three hundred thirty-seven million, four hundred twenty thousand, one hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 157 169 351 471 507 1053 1413 1521 2041 4239 4563 6123 12717 13689 18369 24649 26533 55107 73947 79599 165321 221841 238797 320437 665523 716391 961311 1996569 2149173 2883933 4165681 8651799 12497043 25955397 37491129 112473387 337420161