Search a number
-
+
9034064 = 24133257
BaseRepresentation
bin100010011101…
…100101010000
3121222222101222
4202131211100
54303042224
6521344212
7136534244
oct42354520
917888358
109034064
115110476
123038068
131b44000
1412b2424
15bd6b5e
hex89d950

9034064 has 40 divisors (see below), whose sum is σ = 19035240. Its totient is φ = 4153344.

The previous prime is 9034043. The next prime is 9034073. The reversal of 9034064 is 4604309.

9034064 = 1422 + 1432 + ... + 3102.

It can be written as a sum of positive squares in 4 ways, for example, as 577600 + 8456464 = 760^2 + 2908^2 .

It is a super-2 number, since 2×90340642 = 163228624712192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35024 + ... + 35280.

It is an arithmetic number, because the mean of its divisors is an integer number (475881).

Almost surely, 29034064 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 9034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517620).

9034064 is an abundant number, since it is smaller than the sum of its proper divisors (10001176).

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

9034064 is a wasteful number, since it uses less digits than its factorization.

9034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 9034064 is about 3005.6719714566. The cubic root of 9034064 is about 208.2704814491.

The spelling of 9034064 in words is "nine million, thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 257 338 514 676 1028 1352 2056 2197 2704 3341 4112 4394 6682 8788 13364 17576 26728 35152 43433 53456 86866 173732 347464 564629 694928 1129258 2258516 4517032 9034064