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1340241800 = 235216740127
BaseRepresentation
bin100111111100010…
…0111011110001000
310110101220100010012
41033320213132020
510221100214200
6340554011052
745132603332
oct11770473610
93411810105
101340241800
11628593557
12314a16a88
131848878b1
14c9dd8452
157c9dda35
hex4fe27788

1340241800 has 48 divisors (see below), whose sum is σ = 3134799360. Its totient is φ = 532873280.

The previous prime is 1340241781. The next prime is 1340241853. The reversal of 1340241800 is 81420431.

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 11 ways as a sum of consecutive naturals, for example, 13337 + ... + 53463.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 21340241800 is an apocalyptic number.

1340241800 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 1340241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

1340241800 is an abundant number, since it is smaller than the sum of its proper divisors (1794557560).

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

1340241800 is a wasteful number, since it uses less digits than its factorization.

1340241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40310 (or 40301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1340241800 is about 36609.3130227815. The cubic root of 1340241800 is about 1102.5400804361.

The spelling of 1340241800 in words is "one billion, three hundred forty million, two hundred forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 4175 6680 8350 16700 33400 40127 80254 160508 200635 321016 401270 802540 1003175 1605080 2006350 4012700 6701209 8025400 13402418 26804836 33506045 53609672 67012090 134024180 167530225 268048360 335060450 670120900 1340241800