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310421320 = 23511897927
BaseRepresentation
bin10010100000001…
…010011101001000
3210122010000222221
4102200022131020
51113431440240
650445223424
710456352266
oct2240123510
9718100887
10310421320
1114a252150
1287b61b74
134c409371
142d327436
151c3bba4a
hex1280a748

310421320 has 64 divisors (see below), whose sum is σ = 770601600. Its totient is φ = 111598080.

The previous prime is 310421303. The next prime is 310421327. The reversal of 310421320 is 23124013.

It is a happy number.

It is a super-2 number, since 2×3104213202 = 192722791821084800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310421294 and 310421303.

It is not an unprimeable number, because it can be changed into a prime (310421327) 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, 35197 + ... + 43123.

It is an arithmetic number, because the mean of its divisors is an integer number (12040650).

Almost surely, 2310421320 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 310421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385300800).

310421320 is an abundant number, since it is smaller than the sum of its proper divisors (460180280).

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

310421320 is a wasteful number, since it uses less digits than its factorization.

310421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 310421320 is about 17618.7774831286. Note that the first 3 decimals coincide. The cubic root of 310421320 is about 677.0964140894.

Adding to 310421320 its reverse (23124013), we get a palindrome (333545333).

The spelling of 310421320 in words is "three hundred ten million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 7927 9790 15854 19580 31708 39160 39635 63416 79270 87197 158540 174394 317080 348788 435985 697576 705503 871970 1411006 1743940 2822012 3487880 3527515 5644024 7055030 7760533 14110060 15521066 28220120 31042132 38802665 62084264 77605330 155210660 310421320