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1345000 = 2354269
BaseRepresentation
bin101001000010111101000
32112022222211
411020113220
5321020000
644454504
714301166
oct5102750
92468884
101345000
11839578
1254a434
13381277
14270236
151b87ba
hex1485e8

1345000 has 40 divisors (see below), whose sum is σ = 3163050. Its totient is φ = 536000.

The previous prime is 1344979. The next prime is 1345009. The reversal of 1345000 is 5431.

It can be written as a sum of positive squares in 5 ways, for example, as 31684 + 1313316 = 178^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1345009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4866 + ... + 5134.

21345000 is an apocalyptic number.

1345000 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 1345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581525).

1345000 is an abundant number, since it is smaller than the sum of its proper divisors (1818050).

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

1345000 is an equidigital number, since it uses as much as digits as its factorization.

1345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1345000 is about 1159.7413504743. The cubic root of 1345000 is about 110.3843305493.

The spelling of 1345000 in words is "one million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 269 500 538 625 1000 1076 1250 1345 2152 2500 2690 5000 5380 6725 10760 13450 26900 33625 53800 67250 134500 168125 269000 336250 672500 1345000