Search a number
-
+
1034242200 = 2332521930241
BaseRepresentation
bin111101101001010…
…100100010011000
32200002002221120200
4331221110202120
54104231222300
6250343222200
734425625245
oct7551244230
92602087520
101034242200
11490891522
1224a447960
13136369044
149b5025cc
1560be7200
hex3da54898

1034242200 has 144 divisors (see below), whose sum is σ = 3656257800. Its totient is φ = 261273600.

The previous prime is 1034242199. The next prime is 1034242207. The reversal of 1034242200 is 22424301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034242207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19080 + ... + 49320.

Almost surely, 21034242200 is an apocalyptic number.

1034242200 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 1034242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828128900).

1034242200 is an abundant number, since it is smaller than the sum of its proper divisors (2622015600).

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

1034242200 is a wasteful number, since it uses less digits than its factorization.

1034242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30282 (or 30270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1034242200 is about 32159.6361919721. The cubic root of 1034242200 is about 1011.2862089474.

Adding to 1034242200 its reverse (22424301), we get a palindrome (1056666501).

The spelling of 1034242200 in words is "one billion, thirty-four million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 30241 34200 60482 90723 120964 151205 181446 241928 272169 302410 362892 453615 544338 574579 604820 725784 756025 907230 1088676 1149158 1209640 1360845 1512050 1723737 1814460 2177352 2268075 2298316 2721690 2872895 3024100 3447474 3628920 4536150 4596632 5171211 5443380 5745790 6048200 6804225 6894948 8618685 9072300 10342422 10886760 11491580 13608450 13789896 14364475 17237370 18144600 20684844 22983160 25856055 27216900 28728950 34474740 41369688 43093425 51712110 54433800 57457900 68949480 86186850 103424220 114915800 129280275 172373700 206848440 258560550 344747400 517121100 1034242200