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1003001994 = 233372412083
BaseRepresentation
bin111011110010001…
…001100010001010
32120220022210002000
4323302021202022
54023232030434
6243305451430
733566243031
oct7362114212
92526283060
101003001994
11475194275
1223baa0b76
1312ca4b707
14972cd718
155d0c5b99
hex3bc8988a

1003001994 has 64 divisors (see below), whose sum is σ = 2299735680. Its totient is φ = 323792640.

The previous prime is 1003001981. The next prime is 1003002017. The reversal of 1003001994 is 4991003001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 480477 + ... + 482559.

It is an arithmetic number, because the mean of its divisors is an integer number (35933370).

Almost surely, 21003001994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003001994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149867840).

1003001994 is an abundant number, since it is smaller than the sum of its proper divisors (1296733686).

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

1003001994 is a wasteful number, since it uses less digits than its factorization.

1003001994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1003001994 is about 31670.2067249331. The cubic root of 1003001994 is about 1000.9996650035. Note that the first 3 decimals are identical.

Adding to 1003001994 its reverse (4991003001), we get a palindrome (5994004995).

The spelling of 1003001994 in words is "one billion, three million, one thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 241 333 482 666 723 999 1446 1998 2083 2169 4166 4338 6249 6507 8917 12498 13014 17834 18747 26751 37494 53502 56241 77071 80253 112482 154142 160506 231213 240759 462426 481518 502003 693639 1004006 1387278 1506009 2080917 3012018 4161834 4518027 9036054 13554081 18574111 27108162 37148222 55722333 111444666 167166999 334333998 501500997 1003001994