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1340040420 = 223257444669
BaseRepresentation
bin100111111011111…
…0110010011100100
310110101112002212200
41033313312103210
510221022243140
6340545414500
745131104245
oct11767662344
93411462780
101340040420
11628466224
1231493a430
13184817034
14c9d84ccc
157c99e030
hex4fdf64e4

1340040420 has 36 divisors (see below), whose sum is σ = 4064789820. Its totient is φ = 357344064.

The previous prime is 1340040413. The next prime is 1340040437. The reversal of 1340040420 is 240400431.

It can be written as a sum of positive squares in 2 ways, for example, as 1015824384 + 324216036 = 31872^2 + 18006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1340040393 and 1340040402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3722155 + ... + 3722514.

Almost surely, 21340040420 is an apocalyptic number.

1340040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340040420 is an abundant number, since it is smaller than the sum of its proper divisors (2724749400).

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

1340040420 is a wasteful number, since it uses less digits than its factorization.

1340040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444684 (or 7444679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1340040420 is about 36606.5625264105. The cubic root of 1340040420 is about 1102.4848564104.

Adding to 1340040420 its reverse (240400431), we get a palindrome (1580440851).

The spelling of 1340040420 in words is "one billion, three hundred forty million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7444669 14889338 22334007 29778676 37223345 44668014 67002021 74446690 89336028 111670035 134004042 148893380 223340070 268008084 335010105 446680140 670020210 1340040420