Search a number
-
+
10071344 = 241761607
BaseRepresentation
bin100110011010…
…110100110000
3200221200021202
4212122310300
510034240334
6555510332
7151414343
oct46326460
920850252
1010071344
115759828
1234583a8
13211819a
1414a245a
15d3e17e
hex99ad30

10071344 has 40 divisors (see below), whose sum is σ = 21034368. Its totient is φ = 4654080.

The previous prime is 10071343. The next prime is 10071353. The reversal of 10071344 is 44317001.

It is not an unprimeable number, because it can be changed into a prime (10071343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16289 + ... + 16895.

Almost surely, 210071344 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 10071344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517184).

10071344 is an abundant number, since it is smaller than the sum of its proper divisors (10963024).

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

10071344 is a wasteful number, since it uses less digits than its factorization.

10071344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10071344 is about 3173.5380886323. The cubic root of 10071344 is about 215.9546086603.

Adding to 10071344 its reverse (44317001), we get a palindrome (54388345).

The spelling of 10071344 in words is "ten million, seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 607 976 1037 1214 2074 2428 4148 4856 8296 9712 10319 16592 20638 37027 41276 74054 82552 148108 165104 296216 592432 629459 1258918 2517836 5035672 10071344