Search a number
-
+
34750386 = 23211293599
BaseRepresentation
bin1000010010001…
…1111110110010
32102101111120100
42010203332302
532344003021
63240453230
7601242036
oct204437662
972344510
1034750386
1118685530
12b77a216
137279278
1448881c6
1530b6626
hex2123fb2

34750386 has 48 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 10476960.

The previous prime is 34750369. The next prime is 34750403. The reversal of 34750386 is 68305743.

It is a happy number.

34750386 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 (34750369) and next prime (34750403).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34750386.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57715 + ... + 58313.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 234750386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34750386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

34750386 is an abundant number, since it is smaller than the sum of its proper divisors (47804814).

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

34750386 is a wasteful number, since it uses less digits than its factorization.

34750386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34750386 is about 5894.9458012776. The cubic root of 34750386 is about 326.3271522295.

The spelling of 34750386 in words is "thirty-four million, seven hundred fifty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 599 879 1198 1758 1797 2637 3223 3594 5274 5391 6446 6589 9669 10782 13178 19338 19767 29007 39534 58014 59301 118602 175507 351014 526521 1053042 1579563 1930577 3159126 3861154 5791731 11583462 17375193 34750386