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1324340120 = 2351710311889
BaseRepresentation
bin100111011101111…
…1101001110011000
310102021222110010002
41032323331032120
510203012340440
6335225112132
744550463625
oct11673751630
93367873102
101324340120
1161a612374
1230b628648
131814aaa0c
14c7c5934c
157b3ec115
hex4eefd398

1324340120 has 64 divisors (see below), whose sum is σ = 3159777600. Its totient is φ = 497827840.

The previous prime is 1324340117. The next prime is 1324340131. The reversal of 1324340120 is 210434231.

It is a super-2 number, since 2×13243401202 = 3507753506883228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1324340092 and 1324340101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 700136 + ... + 702024.

It is an arithmetic number, because the mean of its divisors is an integer number (49371525).

Almost surely, 21324340120 is an apocalyptic number.

1324340120 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 1324340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579888800).

1324340120 is an abundant number, since it is smaller than the sum of its proper divisors (1835437480).

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

1324340120 is a wasteful number, since it uses less digits than its factorization.

1324340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1324340120 is about 36391.4841686898. The cubic root of 1324340120 is about 1098.1622537409.

Adding to 1324340120 its reverse (210434231), we get a palindrome (1534774351).

The spelling of 1324340120 in words is "one billion, three hundred twenty-four million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1031 1889 2062 3778 4124 5155 7556 8248 9445 10310 15112 17527 18890 20620 32113 35054 37780 41240 64226 70108 75560 87635 128452 140216 160565 175270 256904 321130 350540 642260 701080 1284520 1947559 3895118 7790236 9737795 15580472 19475590 33108503 38951180 66217006 77902360 132434012 165542515 264868024 331085030 662170060 1324340120