Search a number
-
+
1023034110 = 235710347297
BaseRepresentation
bin111100111110100…
…100001011111110
32122022000111222020
4330332210023332
54043344042420
6245303101010
734231434510
oct7476441376
92568014866
101023034110
1148552673a
12246741766
13133c43637
1499c25bb0
155ec31340
hex3cfa42fe

1023034110 has 64 divisors (see below), whose sum is σ = 2833339392. Its totient is φ = 231561216.

The previous prime is 1023034097. The next prime is 1023034147. The reversal of 1023034110 is 114303201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023034110.

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 31 ways as a sum of consecutive naturals, for example, 2019 + ... + 45278.

It is an arithmetic number, because the mean of its divisors is an integer number (44270928).

Almost surely, 21023034110 is an apocalyptic number.

1023034110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023034110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416669696).

1023034110 is an abundant number, since it is smaller than the sum of its proper divisors (1810305282).

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

1023034110 is a wasteful number, since it uses less digits than its factorization.

1023034110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47417.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1023034110 is about 31984.9044081736. The cubic root of 1023034110 is about 1007.6198274232.

Adding to 1023034110 its reverse (114303201), we get a palindrome (1137337311).

The spelling of 1023034110 in words is "one billion, twenty-three million, thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 7210 10815 21630 47297 94594 141891 236485 283782 331079 472970 662158 709455 993237 1418910 1655395 1986474 3310790 4871591 4966185 9743182 9932370 14614773 24357955 29229546 34101137 48715910 68202274 73073865 102303411 146147730 170505685 204606822 341011370 511517055 1023034110