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1003311342 = 2321131223733
BaseRepresentation
bin111011110011010…
…101000011101110
32120220220111102100
4323303111003232
54023321430332
6243320235530
733602001645
oct7363250356
92526814370
101003311342
11475385730
1224000bba6
1312cb29467
149737035c
155d13767c
hex3bcd50ee

1003311342 has 96 divisors (see below), whose sum is σ = 2462294016. Its totient is φ = 292507200.

The previous prime is 1003311299. The next prime is 1003311367. The reversal of 1003311342 is 2431133001.

1003311342 is a `hidden beast` number, since 10 + 0 + 3 + 311 + 342 = 666.

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

It is a congruent number.

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, 1368408 + ... + 1369140.

It is an arithmetic number, because the mean of its divisors is an integer number (25648896).

Almost surely, 21003311342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003311342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231147008).

1003311342 is an abundant number, since it is smaller than the sum of its proper divisors (1458982674).

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

1003311342 is a wasteful number, since it uses less digits than its factorization.

1003311342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1003311342 is about 31675.0902445439. The cubic root of 1003311342 is about 1001.1025645713.

Adding to 1003311342 its reverse (2431133001), we get a palindrome (3434444343).

The spelling of 1003311342 in words is "one billion, three million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 223 279 341 446 558 669 682 733 1023 1338 1466 2007 2046 2199 2453 3069 4014 4398 4906 6138 6597 6913 7359 8063 13194 13826 14718 16126 20739 22077 22723 24189 41478 44154 45446 48378 62217 68169 72567 76043 124434 136338 145134 152086 163459 204507 228129 249953 326918 409014 456258 490377 499906 684387 749859 980754 1368774 1471131 1499718 1798049 2249577 2942262 3596098 4499154 5067229 5394147 10134458 10788294 15201687 16182441 30403374 32364882 45605061 55739519 91210122 111479038 167218557 334437114 501655671 1003311342