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1348074000 = 243253713823
BaseRepresentation
bin101000001011001…
…1111101000010000
310110221122020212200
41100112133220100
510230101332000
6341433523200
745256303620
oct12026375020
93427566780
101348074000
11631a52a49
12317573500
1318639a830
14cb076880
157d539500
hex5059fa10

1348074000 has 480 divisors, whose sum is σ = 5801961984. Its totient is φ = 284083200.

The previous prime is 1348073977. The next prime is 1348074001. The reversal of 1348074000 is 4708431.

It is not an unprimeable number, because it can be changed into a prime (1348074001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1637589 + ... + 1638411.

Almost surely, 21348074000 is an apocalyptic number.

1348074000 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 1348074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900980992).

1348074000 is an abundant number, since it is smaller than the sum of its proper divisors (4453887984).

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

1348074000 is a wasteful number, since it uses less digits than its factorization.

1348074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1348074000 is about 36716.1272467563. The cubic root of 1348074000 is about 1104.6836109535.

The spelling of 1348074000 in words is "one billion, three hundred forty-eight million, seventy-four thousand".