Search a number
-
+
1030352344 = 23723234781
BaseRepresentation
bin111101011010011…
…110110111011000
32122210210022200221
4331122132313120
54102232233334
6250124005424
734350564460
oct7532366730
92583708627
101030352344
11489674a6a
12249090874
13135606658
149abacba0
15606c98b4
hex3d69edd8

1030352344 has 48 divisors (see below), whose sum is σ = 2308133520. Its totient is φ = 422368320.

The previous prime is 1030352317. The next prime is 1030352359. The reversal of 1030352344 is 4432530301.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12234 + ... + 47014.

It is an arithmetic number, because the mean of its divisors is an integer number (48086115).

Almost surely, 21030352344 is an apocalyptic number.

1030352344 is a gapful number since it is divisible by the number (14) 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 1030352344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154066760).

1030352344 is an abundant number, since it is smaller than the sum of its proper divisors (1277781176).

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

1030352344 is a wasteful number, since it uses less digits than its factorization.

1030352344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34840 (or 34813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1030352344 is about 32099.1019189011. The cubic root of 1030352344 is about 1010.0167771614.

Adding to 1030352344 its reverse (4432530301), we get a palindrome (5462882645).

The spelling of 1030352344 in words is "one billion, thirty million, three hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 2116 3703 4232 7406 14812 29624 34781 69562 139124 243467 278248 486934 799963 973868 1599926 1947736 3199852 5599741 6399704 11199482 18399149 22398964 36798298 44797928 73596596 128794043 147193192 257588086 515176172 1030352344