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361430161 = 29531132081
BaseRepresentation
bin10101100010101…
…111110010010001
3221012002112222021
4111202233302101
51220011231121
655510411441
711646051151
oct2542576221
9835075867
10361430161
11176021914
12a1060b81
1359b58a01
1436004761
1521ae5641
hex158afc91

361430161 has 16 divisors (see below), whose sum is σ = 384503760. Its totient is φ = 339189760.

The previous prime is 361430131. The next prime is 361430197. The reversal of 361430161 is 161034163.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24010000 + 337420161 = 4900^2 + 18369^2 .

It is a 4-Lehmer number, since φ(361430161) divides (361430161-1)4.

It is a cyclic number.

It is not a de Polignac number, because 361430161 - 211 = 361428113 is a prime.

It is a super-2 number, since 2×3614301612 = 261263522560971842, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a deceptive number, since it divides R361430160.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361430131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172641 + ... + 174721.

It is an arithmetic number, because the mean of its divisors is an integer number (24031485).

It is a Poulet number, since it divides 2361430160-1.

Almost surely, 2361430161 is an apocalyptic number.

It is an amenable number.

361430161 is a deficient number, since it is larger than the sum of its proper divisors (23073599).

361430161 is a wasteful number, since it uses less digits than its factorization.

361430161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 361430161 is about 19011.3166561393. The cubic root of 361430161 is about 712.3194402837.

The spelling of 361430161 in words is "three hundred sixty-one million, four hundred thirty thousand, one hundred sixty-one".

Divisors: 1 29 53 113 1537 2081 3277 5989 60349 110293 173681 235153 3198497 6819437 12463109 361430161