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421342240 = 25511415839
BaseRepresentation
bin11001000111010…
…010110000100000
31002100211101220011
4121013102300200
51330330422430
6105450454304
713304231014
oct3107226040
91070741804
10421342240
111a6922730
12b9134394
13693a4947
143dd5c544
1526ecc22a
hex191d2c20

421342240 has 96 divisors (see below), whose sum is σ = 1112590080. Its totient is φ = 149452800.

The previous prime is 421342223. The next prime is 421342241. The reversal of 421342240 is 42243124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (421342241) 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 15 ways as a sum of consecutive naturals, for example, 69241 + ... + 75079.

It is an arithmetic number, because the mean of its divisors is an integer number (11589480).

Almost surely, 2421342240 is an apocalyptic number.

421342240 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 421342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556295040).

421342240 is an abundant number, since it is smaller than the sum of its proper divisors (691247840).

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

421342240 is a wasteful number, since it uses less digits than its factorization.

421342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 421342240 is about 20526.6227129550. The cubic root of 421342240 is about 749.6841573803.

Adding to 421342240 its reverse (42243124), we get a palindrome (463585364).

The spelling of 421342240 in words is "four hundred twenty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 5839 6560 7216 9020 11678 14432 18040 23356 29195 36080 46712 58390 64229 72160 93424 116780 128458 186848 233560 239399 256916 321145 467120 478798 513832 642290 934240 957596 1027664 1196995 1284580 1915192 2055328 2393990 2569160 2633389 3830384 4787980 5138320 5266778 7660768 9575960 10276640 10533556 13166945 19151920 21067112 26333890 38303840 42134224 52667780 84268448 105335560 210671120 421342240