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1384319080 = 235416611277
BaseRepresentation
bin101001010000011…
…0000100001101000
310120110211200210001
41102200300201220
510313341202310
6345210432344
746206342454
oct12240604150
93513750701
101384319080
11650459461
123277326b4
13190a4b221
14d1bcd664
15817e893a
hex52830868

1384319080 has 64 divisors (see below), whose sum is σ = 3198016080. Its totient is φ = 538982400.

The previous prime is 1384319071. The next prime is 1384319099. The reversal of 1384319080 is 809134831.

It can be written as a sum of positive squares in 8 ways, for example, as 532963396 + 851355684 = 23086^2 + 29178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083402 + ... + 1084678.

Almost surely, 21384319080 is an apocalyptic number.

1384319080 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 1384319080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599008040).

1384319080 is an abundant number, since it is smaller than the sum of its proper divisors (1813697000).

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

1384319080 is a wasteful number, since it uses less digits than its factorization.

1384319080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1384319080 is about 37206.4386900977. The cubic root of 1384319080 is about 1114.4965666858.

It can be divided in two parts, 13843 and 19080, that added together give a palindrome (32923).

The spelling of 1384319080 in words is "one billion, three hundred eighty-four million, three hundred nineteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 661 820 1277 1322 1640 2554 2644 3305 5108 5288 6385 6610 10216 12770 13220 25540 26440 27101 51080 52357 54202 104714 108404 135505 209428 216808 261785 271010 418856 523570 542020 844097 1047140 1084040 1688194 2094280 3376388 4220485 6752776 8440970 16881940 33763880 34607977 69215954 138431908 173039885 276863816 346079770 692159540 1384319080