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10032340 = 225501617
BaseRepresentation
bin100110010001…
…010011010100
3200212200210011
4212101103110
510032013330
6555010004
7151162543
oct46212324
920780704
1010032340
11573249a
123439904
1321034c6
14149215a
15d3282a
hex9914d4

10032340 has 12 divisors (see below), whose sum is σ = 21067956. Its totient is φ = 4012928.

The previous prime is 10032307. The next prime is 10032349. The reversal of 10032340 is 4323001.

It can be written as a sum of positive squares in 2 ways, for example, as 5895184 + 4137156 = 2428^2 + 2034^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10032340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250789 + ... + 250828.

It is an arithmetic number, because the mean of its divisors is an integer number (1755663).

Almost surely, 210032340 is an apocalyptic number.

10032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032340 is an abundant number, since it is smaller than the sum of its proper divisors (11035616).

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

10032340 is a wasteful number, since it uses less digits than its factorization.

10032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501626 (or 501624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 10032340 is about 3167.3869356301. The cubic root of 10032340 is about 215.6754671482.

Adding to 10032340 its reverse (4323001), we get a palindrome (14355341).

The spelling of 10032340 in words is "ten million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 501617 1003234 2006468 2508085 5016170 10032340