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34431023 = 112326197
BaseRepresentation
bin1000001101011…
…0000000101111
32101210021111002
42003112000233
532303243043
63225550515
7565441664
oct203260057
971707432
1034431023
11184875a0
12b64543b
137196ab3
144803a6b
153051bb8
hex20d602f

34431023 has 24 divisors (see below), whose sum is σ = 40320336. Its totient is φ = 29145600.

The previous prime is 34430993. The next prime is 34431041. The reversal of 34431023 is 32013443.

It is not a de Polignac number, because 34431023 - 26 = 34430959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34430986 and 34431004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431083) 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 23 ways as a sum of consecutive naturals, for example, 354911 + ... + 355007.

It is an arithmetic number, because the mean of its divisors is an integer number (1680014).

Almost surely, 234431023 is an apocalyptic number.

34431023 is a deficient number, since it is larger than the sum of its proper divisors (5889313).

34431023 is a wasteful number, since it uses less digits than its factorization.

34431023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34431023 is about 5867.7954122481. The cubic root of 34431023 is about 325.3244035003.

Adding to 34431023 its reverse (32013443), we get a palindrome (66444466).

The spelling of 34431023 in words is "thirty-four million, four hundred thirty-one thousand, twenty-three".

Divisors: 1 11 23 61 97 253 529 671 1067 1403 2231 5819 5917 15433 24541 32269 51313 65087 136091 354959 564443 1497001 3130093 34431023