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2013344420 = 225523319237
BaseRepresentation
bin111100000000001…
…0011001010100100
312012022110111022212
41320000103022210
513110404010140
6531440542552
7100615100543
oct17000231244
95168414285
102013344420
1194353150a
12482321a58
1326116a279
1415157015a
15bbb4b765
hex780132a4

2013344420 has 24 divisors (see below), whose sum is σ = 4229051064. Its totient is φ = 805142016.

The previous prime is 2013344419. The next prime is 2013344477. The reversal of 2013344420 is 244433102.

It can be written as a sum of positive squares in 4 ways, for example, as 311451904 + 1701892516 = 17648^2 + 41254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95042 + ... + 114278.

It is an arithmetic number, because the mean of its divisors is an integer number (176210461).

Almost surely, 22013344420 is an apocalyptic number.

2013344420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013344420 is an abundant number, since it is smaller than the sum of its proper divisors (2215706644).

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

2013344420 is a wasteful number, since it uses less digits than its factorization.

2013344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24479 (or 24477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2013344420 is about 44870.3066626472. The cubic root of 2013344420 is about 1262.7169933199.

Adding to 2013344420 its reverse (244433102), we get a palindrome (2257777522).

The spelling of 2013344420 in words is "two billion, thirteen million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5233 10466 19237 20932 26165 38474 52330 76948 96185 104660 192370 384740 100667221 201334442 402668884 503336105 1006672210 2013344420