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334313433 = 33431991447
BaseRepresentation
bin10011111011010…
…011011111011001
3212022001212211000
4103323103133121
51141041012213
653101255213
711166421506
oct2373233731
9768055730
10334313433
111617906a3
1293b64509
13543531cc
14325864ad
151e53ac73
hex13ed37d9

334313433 has 32 divisors (see below), whose sum is σ = 509696000. Its totient is φ = 216448848.

The previous prime is 334313431. The next prime is 334313437.

334313433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334313433 - 21 = 334313431 is a prime.

It is a super-2 number, since 2×3343134332 = 223530942968490978, which contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334313397 and 334313406.

It is not an unprimeable number, because it can be changed into a prime (334313431) 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 31 ways as a sum of consecutive naturals, for example, 230316 + ... + 231762.

It is an arithmetic number, because the mean of its divisors is an integer number (15928000).

Almost surely, 2334313433 is an apocalyptic number.

It is an amenable number.

334313433 is a deficient number, since it is larger than the sum of its proper divisors (175382567).

334313433 is a wasteful number, since it uses less digits than its factorization.

334313433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 334313433 is about 18284.2400170201. The cubic root of 334313433 is about 694.0401725507.

It can be divided in two parts, 33431 and 3433, that added together give a square (36864 = 1922).

The spelling of 334313433 in words is "three hundred thirty-four million, three hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 43 129 199 387 597 1161 1447 1791 4341 5373 8557 13023 25671 39069 62221 77013 186663 231039 287953 559989 863859 1679967 2591577 7774731 12381979 37145937 111437811 334313433