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1334070000 = 24375461
BaseRepresentation
bin100111110000100…
…0100101011110000
310102222021210000000
41033201010223300
510213010220000
6340213430000
745026256624
oct11741045360
93388253000
101334070000
1162505859a
1231293b300
13183506643
14c926d184
157c1c0000
hex4f844af0

1334070000 has 400 divisors, whose sum is σ = 4923548960. Its totient is φ = 349920000.

The previous prime is 1334069999. The next prime is 1334070007. The reversal of 1334070000 is 704331.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334070007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21869970 + ... + 21870030.

Almost surely, 21334070000 is an apocalyptic number.

1334070000 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 1334070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461774480).

1334070000 is an abundant number, since it is smaller than the sum of its proper divisors (3589478960).

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

1334070000 is an frugal number, since it uses more digits than its factorization.

1334070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1334070000 is about 36524.9229978654. The cubic root of 1334070000 is about 1100.8450806238.

Adding to 1334070000 its reverse (704331), we get a palindrome (1334774331).

The spelling of 1334070000 in words is "one billion, three hundred thirty-four million, seventy thousand".