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289974384 = 2433795891
BaseRepresentation
bin10001010010001…
…010100001110000
3202012122020002000
4101102022201300
51043213140014
644435054000
710120512240
oct2122124160
9665566060
10289974384
11139757057
1281141300
13480ca69b
142a723b20
151a6cd509
hex1148a870

289974384 has 80 divisors (see below), whose sum is σ = 951248640. Its totient is φ = 82848960.

The previous prime is 289974383. The next prime is 289974449. The reversal of 289974384 is 483479982.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 289974384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289974383) 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, 44922 + ... + 50969.

It is an arithmetic number, because the mean of its divisors is an integer number (11890608).

Almost surely, 2289974384 is an apocalyptic number.

289974384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289974384 is an abundant number, since it is smaller than the sum of its proper divisors (661274256).

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

289974384 is a wasteful number, since it uses less digits than its factorization.

289974384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95915 (or 95903 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 289974384 is about 17028.6342376598. The cubic root of 289974384 is about 661.8911051462.

The spelling of 289974384 in words is "two hundred eighty-nine million, nine hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 95891 191782 287673 383564 575346 671237 767128 863019 1150692 1342474 1534256 1726038 2013711 2301384 2589057 2684948 3452076 4027422 4602768 5178114 5369896 6041133 6904152 8054844 10356228 10739792 12082266 13808304 16109688 18123399 20712456 24164532 32219376 36246798 41424912 48329064 72493596 96658128 144987192 289974384