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1344123420 = 2235313719531
BaseRepresentation
bin101000000011101…
…1011001000011100
310110200012112200220
41100013123020130
510223043422140
6341213121340
745210601113
oct12007331034
93420175626
101344123420
1162a7a4902
12316189250
13185616603
14ca728c7a
157d008bd0
hex501db21c

1344123420 has 96 divisors (see below), whose sum is σ = 3990153216. Its totient is φ = 337478400.

The previous prime is 1344123397. The next prime is 1344123421. The reversal of 1344123420 is 243214431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344123421) 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 31 ways as a sum of consecutive naturals, for example, 59055 + ... + 78585.

It is an arithmetic number, because the mean of its divisors is an integer number (41564096).

Almost surely, 21344123420 is an apocalyptic number.

1344123420 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 1344123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995076608).

1344123420 is an abundant number, since it is smaller than the sum of its proper divisors (2646029796).

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

1344123420 is a wasteful number, since it uses less digits than its factorization.

1344123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19609 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344123420 is about 36662.2887992553. The cubic root of 1344123420 is about 1103.6034499175.

Adding to 1344123420 its reverse (243214431), we get a palindrome (1587337851).

The spelling of 1344123420 in words is "one billion, three hundred forty-four million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 17205 19531 22940 34410 39062 58593 68820 78124 97655 117186 195310 234372 292965 390620 585930 605461 722647 1171860 1210922 1445294 1816383 2167941 2421844 2890588 3027305 3613235 3632766 4335882 6054610 7226470 7265532 8671764 9081915 10839705 12109220 14452940 18163830 21679410 22402057 36327660 43358820 44804114 67206171 89608228 112010285 134412342 224020570 268824684 336030855 448041140 672061710 1344123420