Search a number
-
+
1350312957 = 337192316349
BaseRepresentation
bin101000001111100…
…0010001111111101
310111002212000011000
41100133002033331
510231140003312
6341553520513
745314320320
oct12037021775
93432760130
101350312957
11633242124
12318273139
131869a2966
14cb49a7b7
157d82cadc
hex507c23fd

1350312957 has 64 divisors (see below), whose sum is σ = 2511360000. Its totient is φ = 699171264.

The previous prime is 1350312937. The next prime is 1350312989. The reversal of 1350312957 is 7592130531.

It is not a de Polignac number, because 1350312957 - 27 = 1350312829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350312937) 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 63 ways as a sum of consecutive naturals, for example, 74419 + ... + 90767.

It is an arithmetic number, because the mean of its divisors is an integer number (39240000).

Almost surely, 21350312957 is an apocalyptic number.

It is an amenable number.

1350312957 is a deficient number, since it is larger than the sum of its proper divisors (1161047043).

1350312957 is a wasteful number, since it uses less digits than its factorization.

1350312957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1350312957 is about 36746.6047002985. The cubic root of 1350312957 is about 1105.2948462118.

The spelling of 1350312957 in words is "one billion, three hundred fifty million, three hundred twelve thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 19 21 23 27 57 63 69 133 161 171 189 207 399 437 483 513 621 1197 1311 1449 3059 3591 3933 4347 9177 11799 16349 27531 49047 82593 114443 147141 310631 343329 376027 441423 931893 1029987 1128081 2174417 2632189 2795679 3089961 3384243 6523251 7144513 7896567 8387037 10152729 19569753 21433539 23689701 50011591 58709259 64300617 71069103 150034773 192901851 450104319 1350312957