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34427943 = 3311196101
BaseRepresentation
bin1000001101010…
…1010000100111
32101210010021000
42003111100213
532303143233
63225524343
7565430004
oct203252047
971703230
1034427943
1118485250
12b6436b3
137195584
1448028ab
153050d13
hex20d5427

34427943 has 32 divisors (see below), whose sum is σ = 58579200. Its totient is φ = 19764000.

The previous prime is 34427929. The next prime is 34427951. The reversal of 34427943 is 34972443.

34427943 is a `hidden beast` number, since 344 + 279 + 43 = 666.

It is not a de Polignac number, because 34427943 - 24 = 34427927 is a prime.

It is a super-2 number, since 2×344279432 = 2370566518422498, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34427898 and 34427907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34427243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593 + ... + 8693.

It is an arithmetic number, because the mean of its divisors is an integer number (1830600).

Almost surely, 234427943 is an apocalyptic number.

34427943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34427943 is a deficient number, since it is larger than the sum of its proper divisors (24151257).

34427943 is a wasteful number, since it uses less digits than its factorization.

34427943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6134 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34427943 is about 5867.5329568738. The cubic root of 34427943 is about 325.3147026651.

The spelling of 34427943 in words is "thirty-four million, four hundred twenty-seven thousand, nine hundred forty-three".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 6101 18303 54909 67111 115919 164727 201333 347757 603999 1043271 1275109 1811997 3129813 3825327 11475981 34427943