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1041340300 = 225271113101103
BaseRepresentation
bin111110000100011…
…001011110001100
32200120110120100021
4332010121132030
54113040342200
6251155311524
734543150360
oct7604313614
92616416307
101041340300
1149489a420
122508ab5a4
13137982ac0
149c42d2a0
156164a41a
hex3e11978c

1041340300 has 288 divisors, whose sum is σ = 3093801984. Its totient is φ = 293760000.

The previous prime is 1041340291. The next prime is 1041340301. The reversal of 1041340300 is 30431401.

1041340300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1041340301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10110049 + ... + 10110151.

It is an arithmetic number, because the mean of its divisors is an integer number (10742368).

Almost surely, 21041340300 is an apocalyptic number.

1041340300 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 1041340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546900992).

1041340300 is an abundant number, since it is smaller than the sum of its proper divisors (2052461684).

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

1041340300 is a wasteful number, since it uses less digits than its factorization.

1041340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

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

The square root of 1041340300 is about 32269.8047716437. The cubic root of 1041340300 is about 1013.5944533775.

Adding to 1041340300 its reverse (30431401), we get a palindrome (1071771701).

The spelling of 1041340300 in words is "one billion, forty-one million, three hundred forty thousand, three hundred".