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34682364 = 2233714523
BaseRepresentation
bin1000010001001…
…1010111111100
32102021001021000
42010103113330
532334313424
63235210300
7600536523
oct204232774
972231230
1034682364
1118639412
12b746990
137254312
14486b4ba
1530a13c9
hex21135fc

34682364 has 48 divisors (see below), whose sum is σ = 91203840. Its totient is φ = 11395440.

The previous prime is 34682359. The next prime is 34682369. The reversal of 34682364 is 46328643.

It is a happy number.

34682364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34682359) and next prime (34682369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34682369) 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, 5407 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 234682364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34682364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601920).

34682364 is an abundant number, since it is smaller than the sum of its proper divisors (56521476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34682364 is a wasteful number, since it uses less digits than its factorization.

34682364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4599 counting only the distinct ones).

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

The square root of 34682364 is about 5889.1734564368. The cubic root of 34682364 is about 326.1140905699.

It can be divided in two parts, 3468 and 2364, that added together give a cube (5832 = 183).

The spelling of 34682364 in words is "thirty-four million, six hundred eighty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 4523 7668 9046 13569 18092 27138 40707 54276 81414 122121 162828 244242 321133 488484 642266 963399 1284532 1926798 2890197 3853596 5780394 8670591 11560788 17341182 34682364