Search a number
-
+
1042344030 = 2357131732207
BaseRepresentation
bin111110001000001…
…110100001011110
32200122100120012110
4332020032201132
54113320002110
6251233014450
734554530610
oct7610164136
92618316173
101042344030
11495415552
122510b4426
13137c44920
149c610db0
1561797a20
hex3e20e85e

1042344030 has 128 divisors (see below), whose sum is σ = 3098124288. Its totient is φ = 218552832.

The previous prime is 1042344019. The next prime is 1042344073. The reversal of 1042344030 is 304432401.

1042344030 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1042343988 and 1042344006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471187 + ... + 473393.

It is an arithmetic number, because the mean of its divisors is an integer number (24204096).

Almost surely, 21042344030 is an apocalyptic number.

1042344030 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 1042344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549062144).

1042344030 is an abundant number, since it is smaller than the sum of its proper divisors (2055780258).

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

1042344030 is a wasteful number, since it uses less digits than its factorization.

1042344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1042344030 is about 32285.3531806607. The cubic root of 1042344030 is about 1013.9200108854.

Adding to 1042344030 its reverse (304432401), we get a palindrome (1346776431).

The spelling of 1042344030 in words is "one billion, forty-two million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 173 182 195 210 273 346 390 455 519 546 865 910 1038 1211 1365 1730 2207 2249 2422 2595 2730 3633 4414 4498 5190 6055 6621 6747 7266 11035 11245 12110 13242 13494 15449 15743 18165 22070 22490 28691 30898 31486 33105 33735 36330 46347 47229 57382 66210 67470 77245 78715 86073 92694 94458 143455 154490 157430 172146 200837 231735 236145 286910 381811 401674 430365 463470 472290 602511 763622 860730 1004185 1145433 1205022 1909055 2008370 2290866 2672677 3012555 3818110 4963543 5345354 5727165 6025110 8018031 9927086 11454330 13363385 14890629 16036062 24817715 26726770 29781258 34744801 40090155 49635430 69489602 74453145 80180310 104234403 148906290 173724005 208468806 347448010 521172015 1042344030