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344131443030 = 23541544151421
BaseRepresentation
bin1010000000111111101…
…01010001100101010110
31012220021010000121122010
411000133311101211112
521114240122134110
6422031455045050
733601620000504
oct5003765214526
91186233017563
10344131443030
11122a44256671
1256840b10786
13265b3b050cb
14129282bb674
158e41c32020
hex501fd51956

344131443030 has 64 divisors (see below), whose sum is σ = 846231696576. Its totient is φ = 89511936000.

The previous prime is 344131443023. The next prime is 344131443101. The reversal of 344131443030 is 30344131443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666720 + ... + 6718140.

It is an arithmetic number, because the mean of its divisors is an integer number (13222370259).

Almost surely, 2344131443030 is an apocalyptic number.

344131443030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344131443030 is an abundant number, since it is smaller than the sum of its proper divisors (502100253546).

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

344131443030 is a wasteful number, since it uses less digits than its factorization.

344131443030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56913.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344131443030 its reverse (30344131443), we get a palindrome (374475574473).

The spelling of 344131443030 in words is "three hundred forty-four billion, one hundred thirty-one million, four hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 5441 10882 16323 27205 32646 51421 54410 81615 102842 154263 163230 223081 257105 308526 446162 514210 669243 771315 1115405 1338486 1542630 2108261 2230810 3346215 4216522 6324783 6692430 10541305 12649566 21082610 31623915 63247830 279781661 559563322 839344983 1398908305 1678689966 2797816610 4196724915 8393449830 11471048101 22942096202 34413144303 57355240505 68826288606 114710481010 172065721515 344131443030