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1030041340 = 225317872111
BaseRepresentation
bin111101011001010…
…010111011111100
32122210012112002021
4331121102323330
54102142310330
6250113205524
734345130656
oct7531227374
92583175067
101030041340
11489482339
12248b608a4
13135527c23
149ab2b6d6
156066767a
hex3d652efc

1030041340 has 48 divisors (see below), whose sum is σ = 2236760064. Its totient is φ = 398030400.

The previous prime is 1030041323. The next prime is 1030041347. The reversal of 1030041340 is 431400301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030041347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486885 + ... + 488995.

It is an arithmetic number, because the mean of its divisors is an integer number (46599168).

Almost surely, 21030041340 is an apocalyptic number.

1030041340 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 1030041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118380032).

1030041340 is an abundant number, since it is smaller than the sum of its proper divisors (1206718724).

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

1030041340 is a wasteful number, since it uses less digits than its factorization.

1030041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1030041340 is about 32094.2571186809. The cubic root of 1030041340 is about 1009.9151449804.

Adding to 1030041340 its reverse (431400301), we get a palindrome (1461441641).

The spelling of 1030041340 in words is "one billion, thirty million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 787 1574 2111 3148 3935 4222 7870 8444 10555 15740 21110 24397 42220 48794 65441 97588 121985 130882 243970 261764 327205 487940 654410 1308820 1661357 3322714 6645428 8306785 16613570 33227140 51502067 103004134 206008268 257510335 515020670 1030041340