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456944345 = 51113639083
BaseRepresentation
bin11011001111000…
…110101011011001
31011211211011210122
4123033012223121
51413434204340
6113201523025
714215651154
oct3317065331
91154734718
10456944345
11214a2a060
12109043475
137388b790
1444988c9b
152a1b0db5
hex1b3c6ad9

456944345 has 16 divisors (see below), whose sum is σ = 644196672. Its totient is φ = 306759360.

The previous prime is 456944333. The next prime is 456944347. The reversal of 456944345 is 543449654.

It is not a de Polignac number, because 456944345 - 216 = 456878809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456944296 and 456944305.

It is not an unprimeable number, because it can be changed into a prime (456944347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318827 + ... + 320256.

It is an arithmetic number, because the mean of its divisors is an integer number (40262292).

Almost surely, 2456944345 is an apocalyptic number.

It is an amenable number.

456944345 is a deficient number, since it is larger than the sum of its proper divisors (187252327).

456944345 is a wasteful number, since it uses less digits than its factorization.

456944345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639112.

The product of its digits is 1036800, while the sum is 44.

The square root of 456944345 is about 21376.2565712521. The cubic root of 456944345 is about 770.2311921732.

The spelling of 456944345 in words is "four hundred fifty-six million, nine hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 11 13 55 65 143 715 639083 3195415 7029913 8308079 35149565 41540395 91388869 456944345