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1350368028 = 223271528313
BaseRepresentation
bin101000001111100…
…1111101100011100
310111002221210200200
41100133033230130
510231143234103
6341555023500
745314640012
oct12037175434
93432853620
101350368028
1163327a539
1231829ab90
131869c1a49
14cb4b28b2
157d83e0a3
hex507cfb1c

1350368028 has 36 divisors (see below), whose sum is σ = 3461513328. Its totient is φ = 443782080.

The previous prime is 1350368011. The next prime is 1350368053. The reversal of 1350368028 is 8208630531.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13503680282 = 3646987622089217568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1350367983 and 1350368001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261601 + ... + 266712.

It is an arithmetic number, because the mean of its divisors is an integer number (96153148).

Almost surely, 21350368028 is an apocalyptic number.

1350368028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1350368028 is an abundant number, since it is smaller than the sum of its proper divisors (2111145300).

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

1350368028 is a wasteful number, since it uses less digits than its factorization.

1350368028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528394 (or 528389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1350368028 is about 36747.3540271949. The cubic root of 1350368028 is about 1105.3098720779.

Adding to 1350368028 its reverse (8208630531), we get a palindrome (9558998559).

The spelling of 1350368028 in words is "one billion, three hundred fifty million, three hundred sixty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 528313 1056626 1584939 2113252 3169878 4754817 6339756 9509634 19019268 37510223 75020446 112530669 150040892 225061338 337592007 450122676 675184014 1350368028