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2003834316 = 22311192393343
BaseRepresentation
bin111011101110000…
…0001010111001100
312011122120022220210
41313130001113030
513100440144231
6530501042420
7100441211361
oct16734012714
95148508823
102003834316
11939126420
1247b0b6410
1325c1ba6a3
141501b6468
15badbda46
hex777015cc

2003834316 has 96 divisors (see below), whose sum is σ = 5393203200. Its totient is φ = 572685120.

The previous prime is 2003834299. The next prime is 2003834381. The reversal of 2003834316 is 6134383002.

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, 597741 + ... + 601083.

It is an arithmetic number, because the mean of its divisors is an integer number (56179200).

Almost surely, 22003834316 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 2003834316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696601600).

2003834316 is an abundant number, since it is smaller than the sum of its proper divisors (3389368884).

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

2003834316 is a wasteful number, since it uses less digits than its factorization.

2003834316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2003834316 is about 44764.2079791433. The cubic root of 2003834316 is about 1260.7256918119.

The spelling of 2003834316 in words is "two billion, three million, eight hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 239 418 478 627 717 836 956 1254 1434 2508 2629 2868 3343 4541 5258 6686 7887 9082 10029 10516 13372 13623 15774 18164 20058 27246 31548 36773 40116 49951 54492 63517 73546 99902 110319 127034 147092 149853 190551 199804 220638 254068 299706 381102 441276 599412 698687 762204 798977 1397374 1597954 2096061 2396931 2794748 3195908 4192122 4793862 8384244 8788747 9587724 15180563 17577494 26366241 30361126 35154988 45541689 52732482 60722252 91083378 105464964 166986193 182166756 333972386 500958579 667944772 1001917158 2003834316