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369685134 = 2357132643
BaseRepresentation
bin10110000010001…
…111001010001110
3221202121221200000
4112002033022032
51224114411014
6100403345130
712106162140
oct2602171216
9852557600
10369685134
1117a74aa05
12a39821a6
135b789200
1437152c90
15226c6509
hex1608f28e

369685134 has 144 divisors (see below), whose sum is σ = 1029555072. Its totient is φ = 97347744.

The previous prime is 369685133. The next prime is 369685153. The reversal of 369685134 is 431586963.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 369685134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369685133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 574617 + ... + 575259.

It is an arithmetic number, because the mean of its divisors is an integer number (7149688).

Almost surely, 2369685134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369685134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514777536).

369685134 is an abundant number, since it is smaller than the sum of its proper divisors (659869938).

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

369685134 is a wasteful number, since it uses less digits than its factorization.

369685134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 668 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 369685134 is about 19227.1977677456. The cubic root of 369685134 is about 717.7017341587.

The spelling of 369685134 in words is "three hundred sixty-nine million, six hundred eighty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 169 182 189 234 243 273 338 351 378 486 507 546 567 643 702 819 1014 1053 1134 1183 1286 1521 1638 1701 1929 2106 2366 2457 3042 3159 3402 3549 3858 4501 4563 4914 5787 6318 7098 7371 8359 9002 9126 10647 11574 13503 13689 14742 16718 17361 21294 22113 25077 27006 27378 31941 34722 40509 41067 44226 50154 52083 58513 63882 75231 81018 82134 95823 104166 108667 117026 121527 150462 156249 175539 191646 217334 225693 243054 287469 312498 326001 351078 364581 451386 526617 574938 652002 677079 729162 760669 978003 1053234 1093743 1354158 1521338 1579851 1956006 2031237 2187486 2282007 2934009 3159702 4062474 4564014 4739553 5868018 6846021 8802027 9479106 13692042 14218659 17604054 20538063 26406081 28437318 41076126 52812162 61614189 123228378 184842567 369685134