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422341440 = 26351732543
BaseRepresentation
bin11001001011000…
…110101101000000
31002102201011112120
4121023012231000
51331104411230
6105524124240
713315562103
oct3113065500
91072634476
10422341440
111a7445414
12b9536680
13696646a1
144013c73a
1527128310
hex192c6b40

422341440 has 112 divisors (see below), whose sum is σ = 1349215488. Its totient is φ = 111929344.

The previous prime is 422341417. The next prime is 422341453. The reversal of 422341440 is 44143224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422341440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164809 + ... + 167351.

Almost surely, 2422341440 is an apocalyptic number.

422341440 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 422341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674607744).

422341440 is an abundant number, since it is smaller than the sum of its proper divisors (926874048).

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

422341440 is a wasteful number, since it uses less digits than its factorization.

422341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 422341440 is about 20550.9474234158. The cubic root of 422341440 is about 750.2763070822.

Adding to 422341440 its reverse (44143224), we get a palindrome (466484664).

The spelling of 422341440 in words is "four hundred twenty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 173 192 240 320 346 480 519 692 865 960 1038 1384 1730 2076 2543 2595 2768 3460 4152 5086 5190 5536 6920 7629 8304 10172 10380 11072 12715 13840 15258 16608 20344 20760 25430 27680 30516 33216 38145 40688 41520 50860 55360 61032 76290 81376 83040 101720 122064 152580 162752 166080 203440 244128 305160 406880 439939 488256 610320 813760 879878 1220640 1319817 1759756 2199695 2441280 2639634 3519512 4399390 5279268 6599085 7039024 8798780 10558536 13198170 14078048 17597560 21117072 26396340 28156096 35195120 42234144 52792680 70390240 84468288 105585360 140780480 211170720 422341440