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1034540000 = 25541323173
BaseRepresentation
bin111101101010011…
…101001111100000
32200002200002002022
4331222131033200
54104320240000
6250353441012
734431305414
oct7552351740
92602602068
101034540000
11490a7523a
1224a570168
13136441760
149b57cd44
1560c55585
hex3da9d3e0

1034540000 has 240 divisors, whose sum is σ = 2876604192. Its totient is φ = 363264000.

The previous prime is 1034539991. The next prime is 1034540021. The reversal of 1034540000 is 454301.

1034540000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5979914 + ... + 5980086.

Almost surely, 21034540000 is an apocalyptic number.

1034540000 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 1034540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438302096).

1034540000 is an abundant number, since it is smaller than the sum of its proper divisors (1842064192).

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

1034540000 is a wasteful number, since it uses less digits than its factorization.

1034540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1034540000 is about 32164.2658862285. The cubic root of 1034540000 is about 1011.3832629812.

Adding to 1034540000 its reverse (454301), we get a palindrome (1034994301).

The spelling of 1034540000 in words is "one billion, thirty-four million, five hundred forty thousand".