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364440141 = 3413346097
BaseRepresentation
bin10101101110001…
…110101001001101
3221101202110220000
4111232032221031
51221244041031
6100055114513
712013455462
oct2556165115
9841673800
10364440141
111777982aa
12a2072a39
135a670a70
1436589669
1521edc3e6
hex15b8ea4d

364440141 has 20 divisors (see below), whose sum is σ = 586290012. Its totient is φ = 224270208.

The previous prime is 364440073. The next prime is 364440149. The reversal of 364440141 is 141044463.

364440141 is a `hidden beast` number, since 3 + 644 + 4 + 0 + 14 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 154480041 = 14490^2 + 12429^2 .

It is not a de Polignac number, because 364440141 - 29 = 364439629 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364440149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171996 + ... + 174101.

Almost surely, 2364440141 is an apocalyptic number.

It is an amenable number.

364440141 is a deficient number, since it is larger than the sum of its proper divisors (221849871).

364440141 is a wasteful number, since it uses less digits than its factorization.

364440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346122 (or 346113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 364440141 is about 19090.3153719366. The cubic root of 364440141 is about 714.2913682657.

The spelling of 364440141 in words is "three hundred sixty-four million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 346097 1038291 3114873 4499261 9344619 13497783 28033857 40493349 121480047 364440141