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1045317336 = 2337103193313
BaseRepresentation
bin111110010011100…
…100011011011000
32200211221121210220
4332103210123120
54120100123321
6251420440040
734622023260
oct7623443330
92624847726
101045317336
11497066428
122520a9020
1313874608b
149cb867a0
1561b839c6
hex3e4e46d8

1045317336 has 128 divisors (see below), whose sum is σ = 3040926720. Its totient is φ = 293289984.

The previous prime is 1045317331. The next prime is 1045317341. The reversal of 1045317336 is 6337135401.

It is an interprime number because it is at equal distance from previous prime (1045317331) and next prime (1045317341).

It is a junction number, because it is equal to n+sod(n) for n = 1045317297 and 1045317306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045317331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3339516 + ... + 3339828.

It is an arithmetic number, because the mean of its divisors is an integer number (23757240).

Almost surely, 21045317336 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 1045317336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520463360).

1045317336 is an abundant number, since it is smaller than the sum of its proper divisors (1995609384).

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

1045317336 is a wasteful number, since it uses less digits than its factorization.

1045317336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 1045317336 is about 32331.3676790822. The cubic root of 1045317336 is about 1014.8831709708.

The spelling of 1045317336 in words is "one billion, forty-five million, three hundred seventeen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 193 206 309 313 386 412 579 618 626 721 772 824 939 1158 1236 1252 1351 1442 1544 1878 2163 2191 2316 2472 2504 2702 2884 3756 4053 4326 4382 4632 5404 5768 6573 7512 8106 8652 8764 10808 13146 16212 17304 17528 19879 26292 32239 32424 39758 52584 59637 60409 64478 79516 96717 119274 120818 128956 139153 159032 181227 193434 225673 238548 241636 257912 278306 362454 386868 417459 422863 451346 477096 483272 556612 677019 724908 773736 834918 845726 902692 1113224 1268589 1354038 1449816 1669836 1691452 1805384 2537178 2708076 3339672 3382904 5074356 5416152 6222127 10148712 12444254 18666381 24888508 37332762 43554889 49777016 74665524 87109778 130664667 149331048 174219556 261329334 348439112 522658668 1045317336