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1324214120 = 235191742387
BaseRepresentation
bin100111011101101…
…1110011101101000
310102021202001021102
41032323132131220
510202444322440
6335222300532
744546430365
oct11673363550
93367661242
101324214120
1161a536739
1230b587748
13181465568
14c7c2546c
157b3c4b15
hex4eede768

1324214120 has 32 divisors (see below), whose sum is σ = 3136298400. Its totient is φ = 501807168.

The previous prime is 1324214093. The next prime is 1324214123. The reversal of 1324214120 is 214124231.

It is a super-3 number, since 3×13242141203 (a number of 28 digits) contains 333 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 = 1324214092 and 1324214101.

It is not an unprimeable number, because it can be changed into a prime (1324214123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 870434 + ... + 871953.

It is an arithmetic number, because the mean of its divisors is an integer number (98009325).

Almost surely, 21324214120 is an apocalyptic number.

1324214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324214120 is an abundant number, since it is smaller than the sum of its proper divisors (1812084280).

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

1324214120 is a wasteful number, since it uses less digits than its factorization.

1324214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742417 (or 1742413 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1324214120 is about 36389.7529532697. The cubic root of 1324214120 is about 1098.1274256202.

Adding to 1324214120 its reverse (214124231), we get a palindrome (1538338351).

The spelling of 1324214120 in words is "one billion, three hundred twenty-four million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1742387 3484774 6969548 8711935 13939096 17423870 33105353 34847740 66210706 69695480 132421412 165526765 264842824 331053530 662107060 1324214120