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34085943 = 3219533761
BaseRepresentation
bin1000001000000…
…1110000110111
32101010202010100
42002001300313
532211222233
63214325143
7562503633
oct202016067
971122110
1034085943
1118271301
12b4b97b3
1370a59c8
144753dc3
152ed4813
hex2081c37

34085943 has 24 divisors (see below), whose sum is σ = 52818480. Its totient is φ = 21116160.

The previous prime is 34085929. The next prime is 34085983. The reversal of 34085943 is 34958043.

It is not a de Polignac number, because 34085943 - 217 = 33954871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34085898 and 34085907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34085983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7183 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (2200770).

Almost surely, 234085943 is an apocalyptic number.

34085943 is a deficient number, since it is larger than the sum of its proper divisors (18732537).

34085943 is a wasteful number, since it uses less digits than its factorization.

34085943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34085943 is about 5838.3167951046. The cubic root of 34085943 is about 324.2339131607.

The spelling of 34085943 in words is "thirty-four million, eighty-five thousand, nine hundred forty-three".

Divisors: 1 3 9 19 53 57 159 171 477 1007 3021 3761 9063 11283 33849 71459 199333 214377 597999 643131 1793997 3787327 11361981 34085943