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1034310420 = 22325112132281
BaseRepresentation
bin111101101001100…
…101001100010100
32200002020102011100
4331221211030110
54104240413140
6250344510100
734426331163
oct7551451424
92602212140
101034310420
11490928800
1224a47b330
13136391100
149b51d3da
1560c0c530
hex3da65314

1034310420 has 324 divisors, whose sum is σ = 3747524508. Its totient is φ = 230630400.

The previous prime is 1034310419. The next prime is 1034310457. The reversal of 1034310420 is 240134301.

1034310420 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 6 ways, for example, as 136469124 + 897841296 = 11682^2 + 29964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1034310393 and 1034310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3680680 + ... + 3680960.

Almost surely, 21034310420 is an apocalyptic number.

1034310420 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 1034310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873762254).

1034310420 is an abundant number, since it is smaller than the sum of its proper divisors (2713214088).

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

1034310420 is a wasteful number, since it uses less digits than its factorization.

1034310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034310420 is about 32160.6968208091. The cubic root of 1034310420 is about 1011.3084437226.

Adding to 1034310420 its reverse (240134301), we get a palindrome (1274444721).

The spelling of 1034310420 in words is "one billion, thirty-four million, three hundred ten thousand, four hundred twenty".