Search a number
-
+
1244434000 = 24531722153
BaseRepresentation
bin100101000101100…
…1000111001010000
310012201121210112011
41022023020321100
510022033342000
6323252312304
742560341315
oct11213107120
93181553464
101244434000
115894a5757
122a8912694
1316aa812a4
14bb3b8d0c
15743b62ba
hex4a2c8e50

1244434000 has 120 divisors (see below), whose sum is σ = 3197940408. Its totient is φ = 468275200.

The previous prime is 1244433989. The next prime is 1244434001. The reversal of 1244434000 is 4344421.

It can be written as a sum of positive squares in 12 ways, for example, as 832668736 + 411765264 = 28856^2 + 20292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244434001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576924 + ... + 579076.

Almost surely, 21244434000 is an apocalyptic number.

1244434000 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 1244434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598970204).

1244434000 is an abundant number, since it is smaller than the sum of its proper divisors (1953506408).

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

1244434000 is a wasteful number, since it uses less digits than its factorization.

1244434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1244434000 is about 35276.5361111320. The cubic root of 1244434000 is about 1075.6160881688.

Adding to 1244434000 its reverse (4344421), we get a palindrome (1248778421).

The spelling of 1244434000 in words is "one billion, two hundred forty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 680 850 1000 1156 1360 1445 1700 2000 2125 2153 2312 2890 3400 4250 4306 4624 5780 6800 7225 8500 8612 10765 11560 14450 17000 17224 21530 23120 28900 34000 34448 36125 36601 43060 53825 57800 72250 73202 86120 107650 115600 144500 146404 172240 183005 215300 269125 289000 292808 366010 430600 538250 578000 585616 622217 732020 861200 915025 1076500 1244434 1464040 1830050 2153000 2488868 2928080 3111085 3660100 4306000 4575125 4977736 6222170 7320200 9150250 9955472 12444340 14640400 15555425 18300500 24888680 31110850 36601000 49777360 62221700 73202000 77777125 124443400 155554250 248886800 311108500 622217000 1244434000