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9934144 = 2611103137
BaseRepresentation
bin100101111001…
…010101000000
3200200201002021
4211321111000
510020343034
6552531224
7150303343
oct45712500
920621067
109934144
115675740
1233b0b14
13209a8bc
14146845a
15d136b4
hex979540

9934144 has 56 divisors (see below), whose sum is σ = 21872448. Its totient is φ = 4439040.

The previous prime is 9934129. The next prime is 9934147. The reversal of 9934144 is 4414399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72444 + ... + 72580.

Almost surely, 29934144 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 9934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936224).

9934144 is an abundant number, since it is smaller than the sum of its proper divisors (11938304).

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

9934144 is a wasteful number, since it uses less digits than its factorization.

9934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 9934144 is about 3151.8477120572. The cubic root of 9934144 is about 214.9694854837.

It can be divided in two parts, 99 and 34144, that added together give a palindrome (34243).

The spelling of 9934144 in words is "nine million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 137 176 206 274 352 412 548 704 824 1096 1133 1507 1648 2192 2266 3014 3296 4384 4532 6028 6592 8768 9064 12056 14111 18128 24112 28222 36256 48224 56444 72512 96448 112888 155221 225776 310442 451552 620884 903104 1241768 2483536 4967072 9934144