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421442232 = 233473071217
BaseRepresentation
bin11001000111101…
…011001010111000
31002101000111001120
4121013223022320
51330342122412
6105452545240
713305125361
oct3107531270
91071014046
10421442232
111a6990872
12b9182220
136940b303
143dd86b68
1526eebb8c
hex191eb2b8

421442232 has 64 divisors (see below), whose sum is σ = 1080414720. Its totient is φ = 136931328.

The previous prime is 421442227. The next prime is 421442237. The reversal of 421442232 is 232244124.

It is an interprime number because it is at equal distance from previous prime (421442227) and next prime (421442237).

It is a super-3 number, since 3×4214422323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421442237) 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, 345688 + ... + 346904.

It is an arithmetic number, because the mean of its divisors is an integer number (16881480).

Almost surely, 2421442232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540207360).

421442232 is an abundant number, since it is smaller than the sum of its proper divisors (658972488).

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

421442232 is a wasteful number, since it uses less digits than its factorization.

421442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

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

The square root of 421442232 is about 20529.0582346098. The cubic root of 421442232 is about 749.7434571466.

Adding to 421442232 its reverse (232244124), we get a palindrome (653686356).

The spelling of 421442232 in words is "four hundred twenty-one million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 307 376 564 614 921 1128 1217 1228 1842 2434 2456 3651 3684 4868 7302 7368 9736 14429 14604 28858 29208 43287 57199 57716 86574 114398 115432 171597 173148 228796 343194 346296 373619 457592 686388 747238 1120857 1372776 1494476 2241714 2988952 4483428 8966856 17560093 35120186 52680279 70240372 105360558 140480744 210721116 421442232