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344041425 = 34527131867
BaseRepresentation
bin10100100000011…
…010011111010001
3212222101010010000
4110200122133101
51201033311200
654050000213
711345206140
oct2440323721
9788333100
10344041425
11167225462
1297276069
135637b010
1433999757
152030d300
hex1481a7d1

344041425 has 120 divisors (see below), whose sum is σ = 784769216. Its totient is φ = 145100160.

The previous prime is 344041421. The next prime is 344041463. The reversal of 344041425 is 524140443.

It is a happy number.

It is not a de Polignac number, because 344041425 - 22 = 344041421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (344041421) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 183342 + ... + 185208.

Almost surely, 2344041425 is an apocalyptic number.

344041425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344041425 is an abundant number, since it is smaller than the sum of its proper divisors (440727791).

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

344041425 is a wasteful number, since it uses less digits than its factorization.

344041425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 344041425 is about 18548.3537005309. The cubic root of 344041425 is about 700.7077365811.

Adding to 344041425 its reverse (524140443), we get a palindrome (868181868).

The spelling of 344041425 in words is "three hundred forty-four million, forty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 135 175 189 195 225 273 315 325 351 405 455 525 567 585 675 819 945 975 1053 1365 1575 1755 1867 2025 2275 2457 2835 2925 4095 4725 5265 5601 6825 7371 8775 9335 12285 13069 14175 16803 20475 24271 26325 28005 36855 39207 46675 50409 61425 65345 72813 84015 117621 121355 140025 151227 169897 184275 196035 218439 252045 326725 352863 364065 420075 509691 588105 606775 655317 756135 849485 980175 1058589 1092195 1260225 1529073 1764315 1820325 1965951 2548455 2940525 3276585 3780675 4247425 4587219 5292945 5460975 7645365 8821575 9829755 12742275 13761657 16382925 22936095 26464725 38226825 49148775 68808285 114680475 344041425