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34431397 = 7112135359
BaseRepresentation
bin1000001101011…
…0000110100101
32101210021222221
42003112012211
532303301042
63225552341
7565443040
oct203260645
971707887
1034431397
1118487900
12b6456b1
137197010
144803c57
153051d67
hex20d61a5

34431397 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 23886720.

The previous prime is 34431373. The next prime is 34431403. The reversal of 34431397 is 79313443.

It is a happy number.

It is not a de Polignac number, because 34431397 - 27 = 34431269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431337) 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 47 ways as a sum of consecutive naturals, for example, 583554 + ... + 583612.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 234431397 is an apocalyptic number.

It is an amenable number.

34431397 is a deficient number, since it is larger than the sum of its proper divisors (13831643).

34431397 is a wasteful number, since it uses less digits than its factorization.

34431397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 34431397 is about 5867.8272810300. The cubic root of 34431397 is about 325.3255814195.

The spelling of 34431397 in words is "thirty-four million, four hundred thirty-one thousand, three hundred ninety-seven".

Divisors: 1 7 11 13 53 59 77 91 121 143 371 413 583 649 689 767 847 1001 1573 3127 4081 4543 4823 5369 6413 7139 7579 8437 11011 21889 34397 40651 44891 49973 53053 59059 83369 92807 240779 284557 378367 447161 583583 649649 2648569 3130127 4918771 34431397