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1340440020 = 223257446889
BaseRepresentation
bin100111111100101…
…0111110111010100
310110102021102000200
41033321113313110
510221123040040
6341002140500
745134360253
oct11771276724
93412242020
101340440020
11628709477
12314ab1730
13184926b9a
14ca04a79a
157ca2c630
hex4fe57dd4

1340440020 has 36 divisors (see below), whose sum is σ = 4066001940. Its totient is φ = 357450624.

The previous prime is 1340440007. The next prime is 1340440037. The reversal of 1340440020 is 200440431.

It can be written as a sum of positive squares in 2 ways, for example, as 436475664 + 903964356 = 20892^2 + 30066^2 .

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 = 1340439975 and 1340440002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3723265 + ... + 3723624.

Almost surely, 21340440020 is an apocalyptic number.

1340440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340440020 is an abundant number, since it is smaller than the sum of its proper divisors (2725561920).

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

1340440020 is a wasteful number, since it uses less digits than its factorization.

1340440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446904 (or 7446899 counting only the distinct ones).

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

The square root of 1340440020 is about 36612.0201573199. The cubic root of 1340440020 is about 1102.5944324994.

Adding to 1340440020 its reverse (200440431), we get a palindrome (1540880451).

The spelling of 1340440020 in words is "one billion, three hundred forty million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7446889 14893778 22340667 29787556 37234445 44681334 67022001 74468890 89362668 111703335 134044002 148937780 223406670 268088004 335110005 446813340 670220010 1340440020