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1930840320 = 2835618243
BaseRepresentation
bin111001100010110…
…0100100100000000
311222120012211222110
41303011210210000
512423243342240
6515332335320
765563605033
oct16305444400
94876184873
101930840320
119009aaa02
1245a774540
1324a041186
1414461501a
15b47a0c80
hex73164900

1930840320 has 144 divisors (see below), whose sum is σ = 6268473792. Its totient is φ = 506388480.

The previous prime is 1930840277. The next prime is 1930840337. The reversal of 1930840320 is 230480391.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230119 + ... + 238361.

It is an arithmetic number, because the mean of its divisors is an integer number (43531068).

Almost surely, 21930840320 is an apocalyptic number.

1930840320 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 1930840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134236896).

1930840320 is an abundant number, since it is smaller than the sum of its proper divisors (4337633472).

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

1930840320 is an equidigital number, since it uses as much as digits as its factorization.

1930840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1930840320 is about 43941.3281547110. The cubic root of 1930840320 is about 1245.2277385360.

The spelling of 1930840320 in words is "one billion, nine hundred thirty million, eight hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 610 640 732 768 915 960 976 1220 1280 1464 1830 1920 1952 2440 2928 3660 3840 3904 4880 5856 7320 7808 8243 9760 11712 14640 15616 16486 19520 23424 24729 29280 32972 39040 41215 46848 49458 58560 65944 78080 82430 98916 117120 123645 131888 164860 197832 234240 247290 263776 329720 395664 494580 502823 527552 659440 791328 989160 1005646 1055104 1318880 1508469 1582656 1978320 2011292 2110208 2514115 2637760 3016938 3165312 3956640 4022584 5028230 5275520 6033876 6330624 7542345 7913280 8045168 10056460 10551040 12067752 15084690 15826560 16090336 20112920 24135504 30169380 31653120 32180672 40225840 48271008 60338760 64361344 80451680 96542016 120677520 128722688 160903360 193084032 241355040 321806720 386168064 482710080 643613440 965420160 1930840320