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1030343020 = 2257191732239
BaseRepresentation
bin111101011010011…
…100100101101100
32122210202211220121
4331122130211230
54102231434040
6250123454324
734350525340
oct7532344554
92583684817
101030343020
11489668a63
122490873a4
13135602335
149aba9620
15606c6c4a
hex3d69c96c

1030343020 has 96 divisors (see below), whose sum is σ = 2619187200. Its totient is φ = 332584704.

The previous prime is 1030342979. The next prime is 1030343023. The reversal of 1030343020 is 203430301.

It is a junction number, because it is equal to n+sod(n) for n = 1030342985 and 1030343003.

It is not an unprimeable number, because it can be changed into a prime (1030343023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 459061 + ... + 461299.

It is an arithmetic number, because the mean of its divisors is an integer number (27283200).

Almost surely, 21030343020 is an apocalyptic number.

1030343020 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 1030343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309593600).

1030343020 is an abundant number, since it is smaller than the sum of its proper divisors (1588844180).

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

1030343020 is a wasteful number, since it uses less digits than its factorization.

1030343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1030343020 is about 32098.9566808643. The cubic root of 1030343020 is about 1010.0137304933.

Adding to 1030343020 its reverse (203430301), we get a palindrome (1233773321).

The spelling of 1030343020 in words is "one billion, thirty million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 173 190 266 346 380 532 665 692 865 1211 1330 1730 2239 2422 2660 3287 3460 4478 4844 6055 6574 8956 11195 12110 13148 15673 16435 22390 23009 24220 31346 32870 42541 44780 46018 62692 65740 78365 85082 92036 115045 156730 170164 212705 230090 297787 313460 387347 425410 460180 595574 774694 850820 1191148 1488935 1549388 1936735 2711429 2977870 3873470 5422858 5955740 7359593 7746940 10845716 13557145 14719186 27114290 29438372 36797965 51517151 54228580 73595930 103034302 147191860 206068604 257585755 515171510 1030343020