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34388343 = 3211973581
BaseRepresentation
bin1000001100101…
…1100101110111
32101201002221100
42003023211313
532300411333
63225021143
7565203363
oct203134567
971632840
1034388343
1118458520
12b6247b3
137180542
1447d22a3
153044213
hex20cb977

34388343 has 24 divisors (see below), whose sum is σ = 54761616. Its totient is φ = 20620800.

The previous prime is 34388317. The next prime is 34388351.

34388343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34388343 - 26 = 34388279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34388298 and 34388307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34388303) 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, 7813 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (2281734).

Almost surely, 234388343 is an apocalyptic number.

34388343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34388343 is a deficient number, since it is larger than the sum of its proper divisors (20373273).

34388343 is a wasteful number, since it uses less digits than its factorization.

34388343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3692 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34388343 is about 5864.1574842427. The cubic root of 34388343 is about 325.1899260688.

It can be divided in two parts, 3438 and 8343, that added together give a triangular number (11781 = T153).

The spelling of 34388343 in words is "thirty-four million, three hundred eighty-eight thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 97 99 291 873 1067 3201 3581 9603 10743 32229 39391 118173 347357 354519 1042071 3126213 3820927 11462781 34388343