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1340004132 = 2232269138373
BaseRepresentation
bin100111111011110…
…1101011100100100
310110101110021002200
41033313231130210
510221020113012
6340544534500
745130563405
oct11767553444
93411407080
101340004132
11628440a35
12314921430
1318480366c
14c9d759ac
157c9933dc
hex4fded724

1340004132 has 36 divisors (see below), whose sum is σ = 3399849180. Its totient is φ = 445004352.

The previous prime is 1340004119. The next prime is 1340004137. The reversal of 1340004132 is 2314000431.

It can be written as a sum of positive squares in 2 ways, for example, as 174874176 + 1165129956 = 13224^2 + 34134^2 .

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

It is a super-2 number, since 2×13400041322 = 3591222147554146848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1340004137) by changing a digit.

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, 59503 + ... + 78870.

It is an arithmetic number, because the mean of its divisors is an integer number (94440255).

Almost surely, 21340004132 is an apocalyptic number.

1340004132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340004132 is an abundant number, since it is smaller than the sum of its proper divisors (2059845048).

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

1340004132 is a wasteful number, since it uses less digits than its factorization.

1340004132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138652 (or 138647 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1340004132 is about 36606.0668742218. The cubic root of 1340004132 is about 1102.4749046380.

Adding to 1340004132 its reverse (2314000431), we get a palindrome (3654004563).

The spelling of 1340004132 in words is "one billion, three hundred forty million, four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 138373 276746 415119 553492 830238 1245357 1660476 2490714 4981428 37222337 74444674 111667011 148889348 223334022 335001033 446668044 670002066 1340004132