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34923993 = 3138310789
BaseRepresentation
bin1000010100111…
…0010111011001
32102201022201020
42011032113121
532420031433
63244313053
7602564136
oct205162731
972638636
1034923993
1118793a05
12b842789
13730a2b0
1448d158d
1530eccb3
hex214e5d9

34923993 has 16 divisors (see below), whose sum is σ = 50756160. Its totient is φ = 21230784.

The previous prime is 34923991. The next prime is 34923997. The reversal of 34923993 is 39932943.

34923993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34923993 - 21 = 34923991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34923991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (3172260).

Almost surely, 234923993 is an apocalyptic number.

It is an amenable number.

34923993 is a deficient number, since it is larger than the sum of its proper divisors (15832167).

34923993 is a wasteful number, since it uses less digits than its factorization.

34923993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888.

The product of its digits is 157464, while the sum is 42.

The square root of 34923993 is about 5909.6525278564. The cubic root of 34923993 is about 326.8696747070.

It can be divided in two parts, 349 and 23993, that added together give a palindrome (24342).

The spelling of 34923993 in words is "thirty-four million, nine hundred twenty-three thousand, nine hundred ninety-three".

Divisors: 1 3 13 39 83 249 1079 3237 10789 32367 140257 420771 895487 2686461 11641331 34923993