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1361937318 = 237234673019
BaseRepresentation
bin101000100101101…
…1000001110100110
310111220201120202220
41101023120032212
510242123443233
6343051013210
745515163510
oct12113301646
93456646686
101361937318
11639861735
1232013a206
13189212991
14ccc44bb0
157e876eb3
hex512d83a6

1361937318 has 64 divisors (see below), whose sum is σ = 3256381440. Its totient is φ = 371286432.

The previous prime is 1361937287. The next prime is 1361937361. The reversal of 1361937318 is 8137391631.

It is a super-3 number, since 3×13619373183 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1361937318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449613 + ... + 452631.

It is an arithmetic number, because the mean of its divisors is an integer number (50880960).

Almost surely, 21361937318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361937318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628190720).

1361937318 is an abundant number, since it is smaller than the sum of its proper divisors (1894444122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361937318 is a wasteful number, since it uses less digits than its factorization.

1361937318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521.

The product of its digits is 81648, while the sum is 42.

The square root of 1361937318 is about 36904.4349367390. The cubic root of 1361937318 is about 1108.4574840832.

The spelling of 1361937318 in words is "one billion, three hundred sixty-one million, nine hundred thirty-seven thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 467 483 934 966 1401 2802 3019 3269 6038 6538 9057 9807 10741 18114 19614 21133 21482 32223 42266 63399 64446 69437 75187 126798 138874 150374 208311 225561 416622 451122 486059 972118 1409873 1458177 2819746 2916354 4229619 8459238 9869111 19738222 29607333 32427079 59214666 64854158 97281237 194562474 226989553 453979106 680968659 1361937318