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5346000 = 24355311
BaseRepresentation
bin10100011001001011010000
3101001121100000
4110121023100
52332033000
6310330000
763304002
oct24311320
911047300
105346000
113021590
121959900
13115241a
149d2372
15709000
hex5192d0

5346000 has 240 divisors, whose sum is σ = 21123648. Its totient is φ = 1296000.

The previous prime is 5345999. The next prime is 5346013. The reversal of 5346000 is 6435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485995 + ... + 486005.

Almost surely, 25346000 is an apocalyptic number.

5346000 is a gapful number since it is divisible by the number (50) 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 5346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

5346000 is an abundant number, since it is smaller than the sum of its proper divisors (15777648).

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

5346000 is a wasteful number, since it uses less digits than its factorization.

5346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

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

The square root of 5346000 is about 2312.1418641597. The cubic root of 5346000 is about 174.8543004975.

The spelling of 5346000 in words is "five million, three hundred forty-six thousand".