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321422420 = 225114361557
BaseRepresentation
bin10011001010001…
…000010001010100
3211101210221200002
4103022020101110
51124241004140
651521110432
710652021414
oct2312102124
9741727602
10321422420
11155486470
128b788418
135178b7a7
143098c644
151d341415
hex13288454

321422420 has 96 divisors (see below), whose sum is σ = 767200896. Its totient is φ = 112089600.

The previous prime is 321422407. The next prime is 321422459. The reversal of 321422420 is 24224123.

321422420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 321422392 and 321422401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576782 + ... + 577338.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2321422420 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 321422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).

321422420 is an abundant number, since it is smaller than the sum of its proper divisors (445778476).

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

321422420 is a wasteful number, since it uses less digits than its factorization.

321422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 321422420 is about 17928.2575840487. The cubic root of 321422420 is about 685.0023407312.

Adding to 321422420 its reverse (24224123), we get a palindrome (345646543).

The spelling of 321422420 in words is "three hundred twenty-one million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 61 86 110 122 172 215 220 244 305 430 473 557 610 671 860 946 1114 1220 1342 1892 2228 2365 2623 2684 2785 3355 4730 5246 5570 6127 6710 9460 10492 11140 12254 13115 13420 23951 24508 26230 28853 30635 33977 47902 52460 57706 61270 67954 95804 115412 119755 122540 135908 144265 169885 239510 263461 288530 339770 373747 479020 526922 577060 679540 747494 1053844 1317305 1461011 1494988 1868735 2634610 2922022 3737470 5269220 5844044 7305055 7474940 14610110 16071121 29220220 32142242 64284484 80355605 160711210 321422420