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440931357 = 3410153897
BaseRepresentation
bin11010010010000…
…001010000011101
31010201200122010000
4122102001100131
51400334300412
6111430404513
713632566106
oct3222012035
91121618100
10440931357
11206992289
12103800739
1370473039
14427bb3ad
1528a9b4dc
hex1a48141d

440931357 has 20 divisors (see below), whose sum is σ = 665209116. Its totient is φ = 291038400.

The previous prime is 440931319. The next prime is 440931373. The reversal of 440931357 is 753139044.

It can be written as a sum of positive squares in 2 ways, for example, as 384591321 + 56340036 = 19611^2 + 7506^2 .

It is not a de Polignac number, because 440931357 - 214 = 440914973 is a prime.

It is a super-2 number, since 2×4409313572 = 388840923171722898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440931307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18768 + ... + 35129.

Almost surely, 2440931357 is an apocalyptic number.

It is an amenable number.

440931357 is a deficient number, since it is larger than the sum of its proper divisors (224277759).

440931357 is a wasteful number, since it uses less digits than its factorization.

440931357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54010 (or 54001 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 440931357 is about 20998.3655792540. The cubic root of 440931357 is about 761.1267664333.

The spelling of 440931357 in words is "four hundred forty million, nine hundred thirty-one thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 53897 161691 485073 1455219 4365657 5443597 16330791 48992373 146977119 440931357