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1340325000 = 23325572337
BaseRepresentation
bin100111111100011…
…1011110010001000
310110102001120020200
41033320323302020
510221110400000
6340555452200
745133401030
oct11770736210
93412046220
101340325000
11628640013
12314a57060
131848b6721
14ca01a8c0
157ca08500
hex4fe3bc88

1340325000 has 576 divisors, whose sum is σ = 5557144320. Its totient is φ = 285120000.

The previous prime is 1340324989. The next prime is 1340325011. The reversal of 1340325000 is 5230431.

1340325000 is a `hidden beast` number, since 1 + 340 + 325 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1340324989) and next prime (1340325011).

It is a super-2 number, since 2×13403250002 = 3592942211250000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36224982 + ... + 36225018.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 21340325000 is an apocalyptic number.

1340325000 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 1340325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1340325000 is an abundant number, since it is smaller than the sum of its proper divisors (4216819320).

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

1340325000 is a wasteful number, since it uses less digits than its factorization.

1340325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1340325000 is about 36610.4493280266. The cubic root of 1340325000 is about 1102.5628945871.

Adding to 1340325000 its reverse (5230431), we get a palindrome (1345555431).

The spelling of 1340325000 in words is "one billion, three hundred forty million, three hundred twenty-five thousand".