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1344413020 = 22519231011523
BaseRepresentation
bin101000000100010…
…0001110101011100
310110200202020221211
41100020201311130
510223132204040
6341223234204
745213215326
oct12010416534
93420666854
101344413020
1162a982445
123162a8964
131856b8382
14ca7a2616
157d0648ea
hex50221d5c

1344413020 has 96 divisors (see below), whose sum is σ = 3133831680. Its totient is φ = 482169600.

The previous prime is 1344413009. The next prime is 1344413033. The reversal of 1344413020 is 203144431.

It is a junction number, because it is equal to n+sod(n) for n = 1344412982 and 1344413000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881979 + ... + 883501.

It is an arithmetic number, because the mean of its divisors is an integer number (32644080).

Almost surely, 21344413020 is an apocalyptic number.

1344413020 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 1344413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566915840).

1344413020 is an abundant number, since it is smaller than the sum of its proper divisors (1789418660).

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

1344413020 is a wasteful number, since it uses less digits than its factorization.

1344413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1344413020 is about 36666.2381490111. The cubic root of 1344413020 is about 1103.6827037031.

Adding to 1344413020 its reverse (203144431), we get a palindrome (1547557451).

The spelling of 1344413020 in words is "one billion, three hundred forty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 101 115 190 202 230 380 404 437 460 505 874 1010 1523 1748 1919 2020 2185 2323 3046 3838 4370 4646 6092 7615 7676 8740 9292 9595 11615 15230 19190 23230 28937 30460 35029 38380 44137 46460 57874 70058 88274 115748 140116 144685 153823 175145 176548 220685 289370 307646 350290 441370 578740 615292 665551 700580 769115 882740 1331102 1538230 2662204 2922637 3076460 3327755 3537929 5845274 6655510 7075858 11690548 13311020 14151716 14613185 17689645 29226370 35379290 58452740 67220651 70758580 134441302 268882604 336103255 672206510 1344413020