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944746313 = 72414211117
BaseRepresentation
bin111000010011111…
…010111101001001
32102211201002022012
4320103322331021
53413323340223
6233425105305
732261132300
oct7023727511
92384632265
10944746313
11445314985
12224488235
131209626b4
148d687437
1557e19c78
hex384faf49

944746313 has 24 divisors (see below), whose sum is σ = 1129479624. Its totient is φ = 787449600.

The previous prime is 944746307. The next prime is 944746349. The reversal of 944746313 is 313647449.

It can be written as a sum of positive squares in 4 ways, for example, as 244985104 + 699761209 = 15652^2 + 26453^2 .

It is not a de Polignac number, because 944746313 - 28 = 944746057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (944746373) 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 23 ways as a sum of consecutive naturals, for example, 845231 + ... + 846347.

It is an arithmetic number, because the mean of its divisors is an integer number (47061651).

Almost surely, 2944746313 is an apocalyptic number.

It is an amenable number.

944746313 is a deficient number, since it is larger than the sum of its proper divisors (184733311).

944746313 is a wasteful number, since it uses less digits than its factorization.

944746313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1586 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 944746313 is about 30736.7258015554. The cubic root of 944746313 is about 981.2320728168.

The spelling of 944746313 in words is "nine hundred forty-four million, seven hundred forty-six thousand, three hundred thirteen".

Divisors: 1 7 41 49 287 421 1117 2009 2947 7819 17261 20629 45797 54733 120827 320579 470257 845789 2244053 3291799 19280537 23042593 134963759 944746313