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1345004020 = 225372297937
BaseRepresentation
bin101000000101011…
…0010000111110100
310110201212021122201
41100022302013310
510223310112040
6341244034244
745221226343
oct12012620764
93421767581
101345004020
11630246478
12316532984
13185864389
14ca8b7b5a
157d12ea9a
hex502b21f4

1345004020 has 48 divisors (see below), whose sum is σ = 2913881040. Its totient is φ = 521109504.

The previous prime is 1345003991. The next prime is 1345004027. The reversal of 1345004020 is 204005431.

It can be written as a sum of positive squares in 8 ways, for example, as 644448996 + 700555024 = 25386^2 + 26468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345004027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165492 + ... + 173428.

It is an arithmetic number, because the mean of its divisors is an integer number (60705855).

Almost surely, 21345004020 is an apocalyptic number.

1345004020 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 1345004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456940520).

1345004020 is an abundant number, since it is smaller than the sum of its proper divisors (1568877020).

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

1345004020 is a wasteful number, since it uses less digits than its factorization.

1345004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1345004020 is about 36674.2964486028. The cubic root of 1345004020 is about 1103.8444052318.

Adding to 1345004020 its reverse (204005431), we get a palindrome (1549009451).

The spelling of 1345004020 in words is "one billion, three hundred forty-five million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 229 370 458 740 916 1145 2290 4580 7937 8473 15874 16946 31748 33892 39685 42365 79370 84730 158740 169460 293669 587338 1174676 1468345 1817573 2936690 3635146 5873380 7270292 9087865 18175730 36351460 67250201 134500402 269000804 336251005 672502010 1345004020