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423030240 = 253252631117
BaseRepresentation
bin11001001101101…
…110110111100000
31002111000011101200
4121031232313200
51331243431430
6105551001200
713324461213
oct3115566740
91074004350
10423030240
111a7875976
12b9809200
1369846069
144027b77a
1527212460
hex1936ede0

423030240 has 144 divisors (see below), whose sum is σ = 1450376928. Its totient is φ = 112278528.

The previous prime is 423030233. The next prime is 423030241. The reversal of 423030240 is 42030324.

423030240 is a `hidden beast` number, since 423 + 0 + 3 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423030241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378162 + ... + 379278.

It is an arithmetic number, because the mean of its divisors is an integer number (10072062).

Almost surely, 2423030240 is an apocalyptic number.

423030240 is a gapful number since it is divisible by the number (40) 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 423030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725188464).

423030240 is an abundant number, since it is smaller than the sum of its proper divisors (1027346688).

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

423030240 is a wasteful number, since it uses less digits than its factorization.

423030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 423030240 is about 20567.6989476217. The cubic root of 423030240 is about 750.6839627370.

Adding to 423030240 its reverse (42030324), we get a palindrome (465060564).

The spelling of 423030240 in words is "four hundred twenty-three million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 263 288 360 480 526 720 789 1052 1117 1315 1440 1578 2104 2234 2367 2630 3156 3351 3945 4208 4468 4734 5260 5585 6312 6702 7890 8416 8936 9468 10053 10520 11170 11835 12624 13404 15780 16755 17872 18936 20106 21040 22340 23670 25248 26808 31560 33510 35744 37872 40212 42080 44680 47340 50265 53616 63120 67020 75744 80424 89360 94680 100530 107232 126240 134040 160848 178720 189360 201060 268080 293771 321696 378720 402120 536160 587542 804240 881313 1175084 1468855 1608480 1762626 2350168 2643939 2937710 3525252 4406565 4700336 5287878 5875420 7050504 8813130 9400672 10575756 11750840 13219695 14101008 17626260 21151512 23501680 26439390 28202016 35252520 42303024 47003360 52878780 70505040 84606048 105757560 141010080 211515120 423030240