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1030434320 = 245101127529
BaseRepresentation
bin111101011010110…
…010111000010000
32122210221111011002
4331122302320100
54102242344240
6250125441132
734351355456
oct7532627020
92583844132
101030434320
11489720613
122491101a8
13135634a66
149abd09d6
15606e3d15
hex3d6b2e10

1030434320 has 40 divisors (see below), whose sum is σ = 2419499160. Its totient is φ = 408089600.

The previous prime is 1030434313. The next prime is 1030434323. The reversal of 1030434320 is 234340301.

1030434320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 309619216 + 720815104 = 17596^2 + 26848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1030434292 and 1030434301.

It is not an unprimeable number, because it can be changed into a prime (1030434323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55685 + ... + 71844.

It is an arithmetic number, because the mean of its divisors is an integer number (60487479).

Almost surely, 21030434320 is an apocalyptic number.

1030434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030434320 is an abundant number, since it is smaller than the sum of its proper divisors (1389064840).

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

1030434320 is a wasteful number, since it uses less digits than its factorization.

1030434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127643 (or 127637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1030434320 is about 32100.3788139642. The cubic root of 1030434320 is about 1010.0435624775.

Adding to 1030434320 its reverse (234340301), we get a palindrome (1264774621).

The spelling of 1030434320 in words is "one billion, thirty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 127529 255058 510116 637645 1020232 1275290 2040464 2550580 5101160 10202320 12880429 25760858 51521716 64402145 103043432 128804290 206086864 257608580 515217160 1030434320