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1034430000 = 2435429241
BaseRepresentation
bin111101101010000…
…010011000110000
32200002110111012020
4331222002120300
54104303230000
6250351231440
734430336622
oct7552023060
92602414166
101034430000
114909aa62a
1224a518580
13136403676
149b550c12
1560c32ba0
hex3da82630

1034430000 has 300 divisors, whose sum is σ = 3542747208. Its totient is φ = 259840000.

The previous prime is 1034429999. The next prime is 1034430043. The reversal of 1034430000 is 344301.

1034430000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25229980 + ... + 25230020.

Almost surely, 21034430000 is an apocalyptic number.

1034430000 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 1034430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771373604).

1034430000 is an abundant number, since it is smaller than the sum of its proper divisors (2508317208).

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

1034430000 is an equidigital number, since it uses as much as digits as its factorization.

1034430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1034430000 is about 32162.5558685873. Note that the first 3 decimals coincide. The cubic root of 1034430000 is about 1011.3474157762.

Adding to 1034430000 its reverse (344301), we get a palindrome (1034774301).

The spelling of 1034430000 in words is "one billion, thirty-four million, four hundred thirty thousand".