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1004000244 = 2231373131673
BaseRepresentation
bin111011110101111…
…101001111110100
32120222012111102020
4323311331033310
54024011001434
6243343113140
733610601262
oct7365751764
92528174366
101004000244
11475806275
122402a27b0
1313000abb0
14974ad432
155d221849
hex3bd7d3f4

1004000244 has 96 divisors (see below), whose sum is σ = 2580783744. Its totient is φ = 301916160.

The previous prime is 1004000233. The next prime is 1004000273. The reversal of 1004000244 is 4420004001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491492 + ... + 1492164.

It is an arithmetic number, because the mean of its divisors is an integer number (26883164).

Almost surely, 21004000244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290391872).

1004000244 is an abundant number, since it is smaller than the sum of its proper divisors (1576783500).

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

1004000244 is a wasteful number, since it uses less digits than its factorization.

1004000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1004000244 is about 31685.9628857953. The cubic root of 1004000244 is about 1001.3316406128.

Adding to 1004000244 its reverse (4420004001), we get a palindrome (5424004245).

The spelling of 1004000244 in words is "one billion, four million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 131 146 156 219 262 292 393 438 524 673 786 876 949 1346 1572 1703 1898 2019 2692 2847 3406 3796 4038 5109 5694 6812 8076 8749 9563 10218 11388 17498 19126 20436 26247 28689 34996 38252 49129 52494 57378 88163 98258 104988 114756 124319 147387 176326 196516 248638 264489 294774 352652 372957 497276 528978 589548 638677 745914 1057956 1146119 1277354 1491828 1916031 2292238 2554708 3438357 3832062 4584476 6435899 6876714 7664124 12871798 13753428 19307697 25743596 38615394 77230788 83666687 167333374 251000061 334666748 502000122 1004000244