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34387837 = 112377681
BaseRepresentation
bin1000001100101…
…1011101111101
32101201002020121
42003023131331
532300402322
63225014541
7565202041
oct203133575
971632217
1034387837
1118458100
12b624451
137180243
1447d2021
153043ec7
hex20cb77d

34387837 has 12 divisors (see below), whose sum is σ = 38824828. Its totient is φ = 30412800.

The previous prime is 34387819. The next prime is 34387841. The reversal of 34387837 is 73878343.

It can be written as a sum of positive squares in 2 ways, for example, as 27762361 + 6625476 = 5269^2 + 2574^2 .

It is not a de Polignac number, because 34387837 - 27 = 34387709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34387793 and 34387802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34387237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 8317.

Almost surely, 234387837 is an apocalyptic number.

34387837 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34387837 is a deficient number, since it is larger than the sum of its proper divisors (4436991).

34387837 is a wasteful number, since it uses less digits than its factorization.

34387837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7729 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 34387837 is about 5864.1143406315. The cubic root of 34387837 is about 325.1883310815.

The spelling of 34387837 in words is "thirty-four million, three hundred eighty-seven thousand, eight hundred thirty-seven".

Divisors: 1 11 37 121 407 4477 7681 84491 284197 929401 3126167 34387837