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1068444300 = 22352711232011
BaseRepresentation
bin111111101011110…
…010101010001100
32202110110121001010
4333223302222030
54142010204200
6254004245220
735322424650
oct7753625214
92673417033
101068444300
114a9122020
122599a0810
13140482881
14a1c86a60
1563c01150
hex3faf2a8c

1068444300 has 288 divisors, whose sum is σ = 4023742464. Its totient is φ = 212256000.

The previous prime is 1068444257. The next prime is 1068444313. The reversal of 1068444300 is 34448601.

It is a super-2 number, since 2×10684443002 = 2283146444404980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530295 + ... + 532305.

It is an arithmetic number, because the mean of its divisors is an integer number (13971328).

Almost surely, 21068444300 is an apocalyptic number.

1068444300 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 1068444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011871232).

1068444300 is an abundant number, since it is smaller than the sum of its proper divisors (2955298164).

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

1068444300 is a wasteful number, since it uses less digits than its factorization.

1068444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1068444300 is about 32687.0662495122. The cubic root of 1068444300 is about 1022.3131853433.

The spelling of 1068444300 in words is "one billion, sixty-eight million, four hundred forty-four thousand, three hundred".