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1328084290 = 251329379521
BaseRepresentation
bin100111100101000…
…1111010101000010
310102120000200011001
41033022033111002
510204442144130
6335441242214
744624346601
oct11712172502
93376020131
101328084290
1162173a425
1231093336a
131821bbcc0
14c8551a38
157b8db6ca
hex4f28f542

1328084290 has 64 divisors (see below), whose sum is σ = 2735480160. Its totient is φ = 460615680.

The previous prime is 1328084281. The next prime is 1328084309. The reversal of 1328084290 is 924808231.

It can be written as a sum of positive squares in 16 ways, for example, as 144793089 + 1183291201 = 12033^2 + 34399^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 134730 + ... + 144250.

Almost surely, 21328084290 is an apocalyptic number.

1328084290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328084290 is an abundant number, since it is smaller than the sum of its proper divisors (1407395870).

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

1328084290 is a wasteful number, since it uses less digits than its factorization.

1328084290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1328084290 is about 36442.8908019109. The cubic root of 1328084290 is about 1099.1961868700.

The spelling of 1328084290 in words is "one billion, three hundred twenty-eight million, eighty-four thousand, two hundred ninety".

Divisors: 1 2 5 10 13 26 29 37 58 65 74 130 145 185 290 370 377 481 754 962 1073 1885 2146 2405 3770 4810 5365 9521 10730 13949 19042 27898 47605 69745 95210 123773 139490 247546 276109 352277 552218 618865 704554 1237730 1380545 1761385 2761090 3522770 3589417 4579601 7178834 9159202 10216033 17947085 20432066 22898005 35894170 45796010 51080165 102160330 132808429 265616858 664042145 1328084290