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465740361 = 354146747
BaseRepresentation
bin11011110000101…
…010001001001001
31012110101001200000
4123300222021021
51423212142421
6114114233213
714353504422
oct3360521111
91173331600
10465740361
11219997699
1210bb85809
137564b318
1445bd8649
152ad4c226
hex1bc2a249

465740361 has 24 divisors (see below), whose sum is σ = 714683424. Its totient is φ = 302914080.

The previous prime is 465740357. The next prime is 465740399. The reversal of 465740361 is 163047564.

It is a happy number.

It is not a de Polignac number, because 465740361 - 22 = 465740357 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (465740761) 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, 13411 + ... + 33336.

It is an arithmetic number, because the mean of its divisors is an integer number (29778476).

Almost surely, 2465740361 is an apocalyptic number.

465740361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

465740361 is a deficient number, since it is larger than the sum of its proper divisors (248943063).

465740361 is an equidigital number, since it uses as much as digits as its factorization.

465740361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46803 (or 46791 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 465740361 is about 21581.0185348143. The cubic root of 465740361 is about 775.1420404241.

The spelling of 465740361 in words is "four hundred sixty-five million, seven hundred forty thousand, three hundred sixty-one".

Divisors: 1 3 9 27 41 81 123 243 369 1107 3321 9963 46747 140241 420723 1262169 1916627 3786507 5749881 11359521 17249643 51748929 155246787 465740361