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334442031 = 37115359463
BaseRepresentation
bin10011111011110…
…010111000101111
3212022022102012220
4103323302320233
51141104121111
653104130423
711200465440
oct2373627057
9768272186
10334442031
11161869280
1294006a13
13543998c1
14325bb2c7
151e563e06
hex13ef2e2f

334442031 has 64 divisors (see below), whose sum is σ = 577290240. Its totient is φ = 167207040.

The previous prime is 334442027. The next prime is 334442033. The reversal of 334442031 is 130244433.

It is not a de Polignac number, because 334442031 - 22 = 334442027 is a prime.

It is a super-2 number, since 2×3344420312 = 223702944198809922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334441992 and 334442010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334442033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 722106 + ... + 722568.

It is an arithmetic number, because the mean of its divisors is an integer number (9020160).

Almost surely, 2334442031 is an apocalyptic number.

334442031 is a deficient number, since it is larger than the sum of its proper divisors (242848209).

334442031 is a wasteful number, since it uses less digits than its factorization.

334442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 334442031 is about 18287.7563139933. The cubic root of 334442031 is about 694.1291516621.

Adding to 334442031 its reverse (130244433), we get a palindrome (464686464).

The spelling of 334442031 in words is "three hundred thirty-four million, four hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 11 21 33 53 59 77 159 177 231 371 413 463 583 649 1113 1239 1389 1749 1947 3127 3241 4081 4543 5093 9381 9723 12243 13629 15279 21889 24539 27317 34397 35651 65667 73617 81951 103191 106953 171773 191219 240779 269929 300487 515319 573657 722337 809787 901461 1447801 1889503 2103409 4343403 5668509 6310227 10134607 15925811 30403821 47777433 111480677 334442031