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341431220 = 225137317989
BaseRepresentation
bin10100010110011…
…101001110110100
3212210110111120202
4110112131032310
51144401244340
653514020032
711314055204
oct2426351664
9783414522
10341431220
11165802369
1296417618
1355975c10
14334ba404
151ee94c15
hex1459d3b4

341431220 has 48 divisors (see below), whose sum is σ = 782780880. Its totient is φ = 124333056.

The previous prime is 341431217. The next prime is 341431249. The reversal of 341431220 is 22134143.

It can be written as a sum of positive squares in 8 ways, for example, as 2650384 + 338780836 = 1628^2 + 18406^2 .

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 = 341431192 and 341431201.

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, 9986 + ... + 27974.

It is an arithmetic number, because the mean of its divisors is an integer number (16307935).

Almost surely, 2341431220 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 341431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391390440).

341431220 is an abundant number, since it is smaller than the sum of its proper divisors (441349660).

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

341431220 is a wasteful number, since it uses less digits than its factorization.

341431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18084 (or 18082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 341431220 is about 18477.8575597930. The cubic root of 341431220 is about 698.9311715600.

Adding to 341431220 its reverse (22134143), we get a palindrome (363565363).

The spelling of 341431220 in words is "three hundred forty-one million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 17989 18980 35978 71956 89945 179890 233857 359780 467714 935428 1169285 1313197 2338570 2626394 4677140 5252788 6565985 13131970 17071561 26263940 34143122 68286244 85357805 170715610 341431220