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312020420 = 22519779193
BaseRepresentation
bin10010100110010…
…000110111000100
3210202010021112212
4102212100313010
51114334123140
650543402552
710506062345
oct2246206704
9722107485
10312020420
11150144618
12885b3458
134c84918a
142d6220cc
151c5d5765
hex12990dc4

312020420 has 24 divisors (see below), whose sum is σ = 658577304. Its totient is φ = 124173056.

The previous prime is 312020399. The next prime is 312020441. The reversal of 312020420 is 24020213.

It is an interprime number because it is at equal distance from previous prime (312020399) and next prime (312020441).

It can be written as a sum of positive squares in 4 ways, for example, as 83466496 + 228553924 = 9136^2 + 15118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312020395 and 312020404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35657 + ... + 43536.

It is an arithmetic number, because the mean of its divisors is an integer number (27440721).

Almost surely, 2312020420 is an apocalyptic number.

It is an amenable number.

312020420 is an abundant number, since it is smaller than the sum of its proper divisors (346556884).

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

312020420 is a wasteful number, since it uses less digits than its factorization.

312020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79399 (or 79397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 312020420 is about 17664.0997506241. The cubic root of 312020420 is about 678.2570849761.

Adding to 312020420 its reverse (24020213), we get a palindrome (336040633).

The spelling of 312020420 in words is "three hundred twelve million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 79193 158386 316772 395965 791930 1583860 15601021 31202042 62404084 78005105 156010210 312020420