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1346213130 = 235318531697
BaseRepresentation
bin101000000111101…
…1001010100001010
310110211010201020120
41100033121110022
510224112310010
6341330004110
745234423423
oct12017312412
93424121216
101346213130
116309a1939
12316a16636
13185b98822
14cab1064a
157d2bce70
hex503d950a

1346213130 has 64 divisors (see below), whose sum is σ = 3341011968. Its totient is φ = 346798080.

The previous prime is 1346213129. The next prime is 1346213177. The reversal of 1346213130 is 313126431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1346213130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792442 + ... + 794138.

It is an arithmetic number, because the mean of its divisors is an integer number (52203312).

Almost surely, 21346213130 is an apocalyptic number.

1346213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670505984).

1346213130 is an abundant number, since it is smaller than the sum of its proper divisors (1994798838).

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

1346213130 is a wasteful number, since it uses less digits than its factorization.

1346213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1346213130 is about 36690.7771790133. Note that the first 3 decimals coincide. The cubic root of 1346213130 is about 1104.1750782382.

Adding to 1346213130 its reverse (313126431), we get a palindrome (1659339561).

The spelling of 1346213130 in words is "one billion, three hundred forty-six million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 853 930 1697 1706 2559 3394 4265 5091 5118 8485 8530 10182 12795 16970 25455 25590 26443 50910 52607 52886 79329 105214 132215 157821 158658 263035 264430 315642 396645 526070 789105 793290 1447541 1578210 2895082 4342623 7237705 8685246 14475410 21713115 43426230 44873771 89747542 134621313 224368855 269242626 448737710 673106565 1346213130