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423876240 = 2434565413
BaseRepresentation
bin11001010000111…
…101011010010000
31002112121010220000
4121100331122100
51332003014430
6110021050000
713334613534
oct3120753220
91075533800
10423876240
111a82a3547
12b9b56900
1369a81158
144041bbc4
152732ce60
hex1943d690

423876240 has 100 divisors (see below), whose sum is σ = 1472207484. Its totient is φ = 113031936.

The previous prime is 423876217. The next prime is 423876247. The reversal of 423876240 is 42678324.

423876240 is a `hidden beast` number, since 4 + 23 + 8 + 7 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130233744 + 293642496 = 11412^2 + 17136^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 423876195 and 423876204.

It is not an unprimeable number, because it can be changed into a prime (423876247) 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 19 ways as a sum of consecutive naturals, for example, 26227 + ... + 39186.

Almost surely, 2423876240 is an apocalyptic number.

423876240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423876240 is an abundant number, since it is smaller than the sum of its proper divisors (1048331244).

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

423876240 is a wasteful number, since it uses less digits than its factorization.

423876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65438 (or 65423 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 423876240 is about 20588.2549041923. The cubic root of 423876240 is about 751.1840497180.

The spelling of 423876240 in words is "four hundred twenty-three million, eight hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 65413 130826 196239 261652 327065 392478 523304 588717 654130 784956 981195 1046608 1177434 1308260 1569912 1766151 1962390 2354868 2616520 2943585 3139824 3532302 3924780 4709736 5233040 5298453 5887170 7064604 7849560 8830755 9419472 10596906 11774340 14129208 15699120 17661510 21193812 23548680 26492265 28258416 35323020 42387624 47097360 52984530 70646040 84775248 105969060 141292080 211938120 423876240