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9034144 = 257311301
BaseRepresentation
bin100010011101…
…100110100000
3121222222111221
4202131212200
54303043034
6521344424
7136534420
oct42354640
917888457
109034144
115110539
123038114
131b44062
1412b2480
15bd6bb4
hex89d9a0

9034144 has 48 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 3744000.

The previous prime is 9034133. The next prime is 9034163. The reversal of 9034144 is 4414309.

It is a happy number.

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, 6294 + ... + 7594.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 29034144 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 9034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

9034144 is an abundant number, since it is smaller than the sum of its proper divisors (11964512).

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

9034144 is a wasteful number, since it uses less digits than its factorization.

9034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 9034144 is about 3005.6852795993. The cubic root of 9034144 is about 208.2710962181.

The spelling of 9034144 in words is "nine million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1301 1736 2602 3472 5204 6944 9107 10408 18214 20816 36428 40331 41632 72856 80662 145712 161324 282317 291424 322648 564634 645296 1129268 1290592 2258536 4517072 9034144