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361431261 = 3313386343
BaseRepresentation
bin10101100010110…
…000000011011101
3221012002121111000
4111202300003131
51220011300021
655510420513
711646054312
oct2542600335
9835077430
10361431261
11176022724
12a1061739
1359b59369
1436004d09
1521ae5b26
hex158b00dd

361431261 has 8 divisors (see below), whose sum is σ = 535453760. Its totient is φ = 240954156.

The previous prime is 361431233. The next prime is 361431289. The reversal of 361431261 is 162134163.

361431261 is a `hidden beast` number, since 361 + 43 + 1 + 261 = 666.

It is an interprime number because it is at equal distance from previous prime (361431233) and next prime (361431289).

It is not a de Polignac number, because 361431261 - 211 = 361429213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 13386343 = 361431261 / (3 + 6 + 1 + 4 + 3 + 1 + 2 + 6 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361431461) 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 7 ways as a sum of consecutive naturals, for example, 6693145 + ... + 6693198.

It is an arithmetic number, because the mean of its divisors is an integer number (66931720).

Almost surely, 2361431261 is an apocalyptic number.

It is an amenable number.

361431261 is a deficient number, since it is larger than the sum of its proper divisors (174022499).

361431261 is a wasteful number, since it uses less digits than its factorization.

361431261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386352 (or 13386346 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361431261 is about 19011.3455862545. The cubic root of 361431261 is about 712.3201629227.

The spelling of 361431261 in words is "three hundred sixty-one million, four hundred thirty-one thousand, two hundred sixty-one".

Divisors: 1 3 9 27 13386343 40159029 120477087 361431261