Search a number
-
+
869438934 = 2367136553
BaseRepresentation
bin110011110100101…
…001010111010110
32020121000002000000
4303310221113112
53240034021214
6222135032130
730355052250
oct6364512726
92217002000
10869438934
11406859381
1220320b646
1310b186210
1483682cd0
15514e1809
hex33d295d6

869438934 has 112 divisors (see below), whose sum is σ = 2406943392. Its totient is φ = 229267584.

The previous prime is 869438923. The next prime is 869438951. The reversal of 869438934 is 439834968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 129402 + ... + 135954.

It is an arithmetic number, because the mean of its divisors is an integer number (21490566).

Almost surely, 2869438934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869438934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203471696).

869438934 is an abundant number, since it is smaller than the sum of its proper divisors (1537504458).

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

869438934 is a wasteful number, since it uses less digits than its factorization.

869438934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6578 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 869438934 is about 29486.2499141549. The cubic root of 869438934 is about 954.4350098710.

The spelling of 869438934 in words is "eight hundred sixty-nine million, four hundred thirty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2457 3159 3402 4914 5103 6318 6553 7371 9477 10206 13106 14742 18954 19659 22113 39318 44226 45871 58977 66339 85189 91742 117954 132678 137613 170378 176931 255567 275226 353862 412839 511134 530793 596323 766701 825678 1061586 1192646 1238517 1533402 1592379 1788969 2300103 2477034 3184758 3577938 3715551 4600206 4777137 5366907 6900309 7431102 9554274 10733814 11146653 13800618 16100721 20700927 22293306 32201442 33439959 41401854 48302163 62102781 66879918 96604326 124205562 144906489 289812978 434719467 869438934