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2003231034 = 233723971907
BaseRepresentation
bin111011101100110…
…1110000100111010
312011121102200101000
41313121232010322
513100311343114
6530440105430
7100433116500
oct16731560472
95147380330
102003231034
11938854142
1247aa65276
1325c038c0c
1415009a670
15baceee09
hex7766e13a

2003231034 has 96 divisors (see below), whose sum is σ = 5194186560. Its totient is φ = 570610656.

The previous prime is 2003231017. The next prime is 2003231051. The reversal of 2003231034 is 4301323002.

It is an interprime number because it is at equal distance from previous prime (2003231017) and next prime (2003231051).

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

It is a junction number, because it is equal to n+sod(n) for n = 2003230998 and 2003231016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049509 + ... + 1051415.

It is an arithmetic number, because the mean of its divisors is an integer number (54106110).

Almost surely, 22003231034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003231034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597093280).

2003231034 is an abundant number, since it is smaller than the sum of its proper divisors (3190955526).

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

2003231034 is a wasteful number, since it uses less digits than its factorization.

2003231034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2003231034 is about 44757.4690303194. The cubic root of 2003231034 is about 1260.5991594849.

Adding to 2003231034 its reverse (4301323002), we get a palindrome (6304554036).

The spelling of 2003231034 in words is "two billion, three million, two hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 397 441 794 882 1191 1323 1907 2382 2646 2779 3573 3814 5558 5721 7146 8337 10719 11442 13349 16674 17163 19453 21438 25011 26698 34326 38906 40047 50022 51489 58359 75033 80094 93443 102978 116718 120141 150066 175077 186886 240282 280329 350154 360423 525231 560658 720846 757079 840987 1050462 1514158 1681974 2271237 2522961 4542474 5045922 5299553 6813711 10599106 13627422 15898659 20441133 31797318 37096871 40882266 47695977 74193742 95391954 111290613 143087931 222581226 286175862 333871839 667743678 1001615517 2003231034