Search a number
-
+
10340031040 = 2651719711409
BaseRepresentation
bin10011010000101000…
…00101101001000000
3222200121121000000121
421220110011221000
5132134021443130
64430010430024
7514143546043
oct115024055100
928617530017
1010340031040
1144267503a9
122006a32314
13c8a292c81
14701396c5a
15407b77d7a
hex268505a40

10340031040 has 224 divisors, whose sum is σ = 27848966400. Its totient is φ = 3633315840.

The previous prime is 10340031029. The next prime is 10340031043. The reversal of 10340031040 is 4013004301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10340031043) 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 31 ways as a sum of consecutive naturals, for example, 7337856 + ... + 7339264.

Almost surely, 210340031040 is an apocalyptic number.

10340031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924483200).

10340031040 is an abundant number, since it is smaller than the sum of its proper divisors (17508935360).

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

10340031040 is a wasteful number, since it uses less digits than its factorization.

10340031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10340031040 its reverse (4013004301), we get a palindrome (14353035341).

The spelling of 10340031040 in words is "ten billion, three hundred forty million, thirty-one thousand, forty".