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361640041 = 72531311063
BaseRepresentation
bin10101100011100…
…011000001101001
3221012111012212121
4111203203001221
51220034440131
655515111241
711650614100
oct2543430151
9835435777
10361640041
11176155574
12a1142521
1359c003b9
143605b037
1521b37911
hex158e3069

361640041 has 24 divisors (see below), whose sum is σ = 432298944. Its totient is φ = 301523040.

The previous prime is 361640039. The next prime is 361640051. The reversal of 361640041 is 140046163.

It is not a de Polignac number, because 361640041 - 21 = 361640039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 361639988 and 361640015.

It is not an unprimeable number, because it can be changed into a prime (361640011) 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 23 ways as a sum of consecutive naturals, for example, 339676 + ... + 340738.

It is an arithmetic number, because the mean of its divisors is an integer number (18012456).

Almost surely, 2361640041 is an apocalyptic number.

It is an amenable number.

361640041 is a deficient number, since it is larger than the sum of its proper divisors (70658903).

361640041 is a wasteful number, since it uses less digits than its factorization.

361640041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 361640041 is about 19016.8357252199. The cubic root of 361640041 is about 712.4572932646.

The spelling of 361640041 in words is "three hundred sixty-one million, six hundred forty thousand, forty-one".

Divisors: 1 7 49 53 131 371 917 1063 2597 6419 6943 7441 48601 52087 56339 139253 340207 394373 974771 2760611 6823397 7380409 51662863 361640041