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389334272 = 2817137653
BaseRepresentation
bin10111001101001…
…100010100000000
31000010121020012212
4113031030110000
51244132144042
6102344441252
712435200225
oct2715142400
91003536185
10389334272
1118a850668
12aa479228
1362878a12
14399c994c
15242a8482
hex1734c500

389334272 has 72 divisors (see below), whose sum is σ = 830137896. Its totient is φ = 181600256.

The previous prime is 389334241. The next prime is 389334277. The reversal of 389334272 is 272433983.

It can be written as a sum of positive squares in 4 ways, for example, as 71639296 + 317694976 = 8464^2 + 17824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389334277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595898 + ... + 596550.

It is an arithmetic number, because the mean of its divisors is an integer number (11529693).

Almost surely, 2389334272 is an apocalyptic number.

389334272 is a gapful number since it is divisible by the number (32) 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 389334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415068948).

389334272 is an abundant number, since it is smaller than the sum of its proper divisors (440803624).

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

389334272 is a wasteful number, since it uses less digits than its factorization.

389334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 389334272 is about 19731.5552352064. Note that the first 3 decimals coincide. The cubic root of 389334272 is about 730.1984023182.

The spelling of 389334272 in words is "three hundred eighty-nine million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 544 548 653 1088 1096 1306 2176 2192 2329 2612 4352 4384 4658 5224 8768 9316 10448 11101 17536 18632 20896 22202 35072 37264 41792 44404 74528 83584 88808 89461 149056 167168 177616 178922 298112 355232 357844 596224 710464 715688 1420928 1431376 1520837 2841856 2862752 3041674 5725504 6083348 11451008 12166696 22902016 24333392 48666784 97333568 194667136 389334272