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344212020 = 2232523294761
BaseRepresentation
bin10100100001000…
…100001000110100
3212222200210010100
4110201010020310
51201104241040
654053354100
711346516405
oct2441041064
9788623110
10344212020
11167331649
1297338930
135640a869
1433a019ac
1520343b30
hex14844234

344212020 has 288 divisors, whose sum is σ = 1169925120. Its totient is φ = 81607680.

The previous prime is 344212019. The next prime is 344212021. The reversal of 344212020 is 20212443.

It is an interprime number because it is at equal distance from previous prime (344212019) and next prime (344212021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 344211984 and 344212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344212021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5642790 + ... + 5642850.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2344212020 is an apocalyptic number.

344212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

344212020 is an abundant number, since it is smaller than the sum of its proper divisors (825713100).

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

344212020 is a wasteful number, since it uses less digits than its factorization.

344212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 344212020 is about 18552.9517867104. The cubic root of 344212020 is about 700.8235341521.

Adding to 344212020 its reverse (20212443), we get a palindrome (364424463).

The spelling of 344212020 in words is "three hundred forty-four million, two hundred twelve thousand, twenty".