Search a number
-
+
10034336 = 251324121
BaseRepresentation
bin100110010001…
…110010100000
3200212210112002
4212101302200
510032044321
6555023132
7151201424
oct46216240
920783462
1010034336
115733a44
12343aaa8
1321043a0
141492b84
15d3320b
hex991ca0

10034336 has 24 divisors (see below), whose sum is σ = 21275604. Its totient is φ = 4631040.

The previous prime is 10034329. The next prime is 10034357. The reversal of 10034336 is 63343001.

It can be written as a sum of positive squares in 2 ways, for example, as 9120400 + 913936 = 3020^2 + 956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11645 + ... + 12476.

Almost surely, 210034336 is an apocalyptic number.

10034336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10034336 is an abundant number, since it is smaller than the sum of its proper divisors (11241268).

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

10034336 is a wasteful number, since it uses less digits than its factorization.

10034336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144 (or 24136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 10034336 is about 3167.7020061868. The cubic root of 10034336 is about 215.6897695505.

Adding to 10034336 its reverse (63343001), we get a palindrome (73377337).

The spelling of 10034336 in words is "ten million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 24121 48242 96484 192968 313573 385936 627146 771872 1254292 2508584 5017168 10034336