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34000348 = 22192353367
BaseRepresentation
bin1000000110110…
…0110111011100
32100222101201011
42001230313130
532201002343
63212425004
7561666244
oct201546734
970871634
1034000348
1118212a68
12b478164
137075a65
144730b24
152eb929d
hex206cddc

34000348 has 48 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 15073344.

The previous prime is 34000339. The next prime is 34000349. The reversal of 34000348 is 84300043.

34000348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340003482 = 2312047328242208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000349) 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, 92461 + ... + 92827.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 234000348 is an apocalyptic number.

34000348 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34000348 is a deficient number, since it is larger than the sum of its proper divisors (32769572).

34000348 is a wasteful number, since it uses less digits than its factorization.

34000348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34000348 is about 5830.9817355228. The cubic root of 34000348 is about 323.9622854033.

It can be divided in two parts, 3400034 and 8, that multiplied together give a palindrome (27200272).

The spelling of 34000348 in words is "thirty-four million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 19 23 38 46 53 76 92 106 212 367 437 734 874 1007 1219 1468 1748 2014 2438 4028 4876 6973 8441 13946 16882 19451 23161 27892 33764 38902 46322 77804 92644 160379 320758 369569 447373 641516 739138 894746 1478276 1789492 8500087 17000174 34000348