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1340800 = 2752419
BaseRepresentation
bin101000111010110000000
32112010020021
411013112000
5320401200
644423224
714253016
oct5072600
92463207
101340800
118363aa
12547b14
1337c396
1426c8b6
151b741a
hex147580

1340800 has 48 divisors (see below), whose sum is σ = 3320100. Its totient is φ = 535040.

The previous prime is 1340797. The next prime is 1340803. The reversal of 1340800 is 80431.

It is an interprime number because it is at equal distance from previous prime (1340797) and next prime (1340803).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2991 + ... + 3409.

21340800 is an apocalyptic number.

1340800 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 1340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660050).

1340800 is an abundant number, since it is smaller than the sum of its proper divisors (1979300).

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

1340800 is an equidigital number, since it uses as much as digits as its factorization.

1340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1340800 is about 1157.9291860904. The cubic root of 1340800 is about 110.2693125568.

The spelling of 1340800 in words is "one million, three hundred forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 419 640 800 838 1600 1676 2095 3200 3352 4190 6704 8380 10475 13408 16760 20950 26816 33520 41900 53632 67040 83800 134080 167600 268160 335200 670400 1340800