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334414003 = 71119228581
BaseRepresentation
bin10011111011101…
…100000010110011
3212022020222202211
4103323230002303
51141102222003
653103352551
711200320640
oct2373540263
9768228684
10334414003
1116184a210
1293bb2757
1354389c11
14325b0dc7
151e55a96d
hex13eec0b3

334414003 has 16 divisors (see below), whose sum is σ = 438877440. Its totient is φ = 246866400.

The previous prime is 334413983. The next prime is 334414007. The reversal of 334414003 is 300414433.

It is not a de Polignac number, because 334414003 - 217 = 334282931 is a prime.

It is a super-3 number, since 3×3344140033 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334414007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112828 + ... + 115753.

It is an arithmetic number, because the mean of its divisors is an integer number (27429840).

Almost surely, 2334414003 is an apocalyptic number.

334414003 is a deficient number, since it is larger than the sum of its proper divisors (104463437).

334414003 is a wasteful number, since it uses less digits than its factorization.

334414003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228618.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 334414003 is about 18286.9899928884. The cubic root of 334414003 is about 694.1097605633.

Adding to 334414003 its reverse (300414433), we get a palindrome (634828436).

The spelling of 334414003 in words is "three hundred thirty-four million, four hundred fourteen thousand, three".

Divisors: 1 7 11 19 77 133 209 1463 228581 1600067 2514391 4343039 17600737 30401273 47773429 334414003