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344331220 = 225101373457
BaseRepresentation
bin10100100001100…
…001001111010100
3212222220211122011
4110201201033110
51201122044340
654100114004
711350524052
oct2441411724
9788824564
10344331220
11167403162
1297395904
135644cbac
1433a331d2
15203690ea
hex148613d4

344331220 has 48 divisors (see below), whose sum is σ = 733814928. Its totient is φ = 135705600.

The previous prime is 344331203. The next prime is 344331241. The reversal of 344331220 is 22133443.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64705936 + 279625284 = 8044^2 + 16722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344331191 and 344331200.

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, 753232 + ... + 753688.

It is an arithmetic number, because the mean of its divisors is an integer number (15287811).

Almost surely, 2344331220 is an apocalyptic number.

It is an amenable number.

344331220 is an abundant number, since it is smaller than the sum of its proper divisors (389483708).

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

344331220 is a wasteful number, since it uses less digits than its factorization.

344331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 344331220 is about 18556.1639354690. The cubic root of 344331220 is about 700.9044227898.

Adding to 344331220 its reverse (22133443), we get a palindrome (366464663).

It can be divided in two parts, 34433 and 1220, that added together give a palindrome (35653).

The spelling of 344331220 in words is "three hundred forty-four million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 373 404 457 505 746 914 1010 1492 1828 1865 2020 2285 3730 4570 7460 9140 37673 46157 75346 92314 150692 170461 184628 188365 230785 340922 376730 461570 681844 753460 852305 923140 1704610 3409220 17216561 34433122 68866244 86082805 172165610 344331220