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321422424 = 233231793253
BaseRepresentation
bin10011001010001…
…000010001011000
3211101210221200020
4103022020101120
51124241004144
651521110440
710652021421
oct2312102130
9741727606
10321422424
11155486474
128b788420
135178b7ab
143098c648
151d341419
hex13288458

321422424 has 64 divisors (see below), whose sum is σ = 843436800. Its totient is φ = 101878656.

The previous prime is 321422407. The next prime is 321422459. The reversal of 321422424 is 424224123.

321422424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 321422394 and 321422403.

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, 97182 + ... + 100434.

It is an arithmetic number, because the mean of its divisors is an integer number (13178700).

Almost surely, 2321422424 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 321422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421718400).

321422424 is an abundant number, since it is smaller than the sum of its proper divisors (522014376).

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

321422424 is a wasteful number, since it uses less digits than its factorization.

321422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3460 counting only the distinct ones).

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

The square root of 321422424 is about 17928.2576956044. The cubic root of 321422424 is about 685.0023435727.

Adding to 321422424 its reverse (424224123), we get a palindrome (745646547).

The spelling of 321422424 in words is "three hundred twenty-one million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 179 184 276 358 537 552 716 1074 1432 2148 3253 4117 4296 6506 8234 9759 12351 13012 16468 19518 24702 26024 32936 39036 49404 74819 78072 98808 149638 224457 299276 448914 582287 598552 897828 1164574 1746861 1795656 2329148 3493722 4658296 6987444 13392601 13974888 26785202 40177803 53570404 80355606 107140808 160711212 321422424