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1361069352 = 233333119037
BaseRepresentation
bin101000100100000…
…0100010100101000
310111212002111011000
41101020010110220
510241413204402
6343020235000
745504620136
oct12110042450
93455074130
101361069352
11639319605
1231b99ba60
13188c9a8a6
14cca9a756
157e754c1c
hex51204528

1361069352 has 64 divisors (see below), whose sum is σ = 3792369600. Its totient is φ = 452295360.

The previous prime is 1361069341. The next prime is 1361069357. The reversal of 1361069352 is 2539601631.

1361069352 is a `hidden beast` number, since 1 + 3 + 610 + 6 + 9 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1361069357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61978 + ... + 81014.

It is an arithmetic number, because the mean of its divisors is an integer number (59255775).

Almost surely, 21361069352 is an apocalyptic number.

1361069352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361069352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896184800).

1361069352 is an abundant number, since it is smaller than the sum of its proper divisors (2431300248).

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

1361069352 is a wasteful number, since it uses less digits than its factorization.

1361069352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383 (or 19373 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1361069352 is about 36892.6734189866. The cubic root of 1361069352 is about 1108.2219598165.

The spelling of 1361069352 in words is "one billion, three hundred sixty-one million, sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1986 2648 2979 3972 5958 7944 8937 11916 17874 19037 23832 35748 38074 57111 71496 76148 114222 152296 171333 228444 342666 456888 513999 685332 1027998 1370664 2055996 4111992 6301247 12602494 18903741 25204988 37807482 50409976 56711223 75614964 113422446 151229928 170133669 226844892 340267338 453689784 680534676 1361069352