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3001233004 = 2271159317521
BaseRepresentation
bin1011001011100011…
…0010111001101100
321202011100102200221
42302320302321230
522121303424004
61213450501124
7134242026310
oct26270627154
97664312627
103001233004
111300132860
126b91347a4
1338aa26823
14206847b40
15128739354
hexb2e32e6c

3001233004 has 96 divisors (see below), whose sum is σ = 6692958720. Its totient is φ = 1143667200.

The previous prime is 3001232981. The next prime is 3001233007. The reversal of 3001233004 is 4003321003.

It is not an unprimeable number, because it can be changed into a prime (3001233007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5760264 + ... + 5760784.

It is an arithmetic number, because the mean of its divisors is an integer number (69718320).

Almost surely, 23001233004 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 3001233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346479360).

3001233004 is an abundant number, since it is smaller than the sum of its proper divisors (3691725716).

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

3001233004 is a wasteful number, since it uses less digits than its factorization.

3001233004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3001233004 is about 54783.5103292953. The cubic root of 3001233004 is about 1442.4471320760.

Adding to 3001233004 its reverse (4003321003), we get a palindrome (7004554007).

The spelling of 3001233004 in words is "three billion, one million, two hundred thirty-three thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 317 413 521 634 649 826 1042 1268 1298 1652 2084 2219 2596 3487 3647 4438 4543 5731 6974 7294 8876 9086 11462 13948 14588 18172 18703 22924 24409 30739 37406 40117 48818 61478 74812 80234 97636 122956 130921 160468 165157 205733 215173 261842 330314 338129 411466 430346 523684 660628 676258 822932 860692 1156099 1352516 1440131 1816727 2312198 2366903 2880262 3633454 4624396 4733806 5760524 7266908 9467612 9744263 12717089 19488526 25434178 38977052 50868356 68209841 107186893 136419682 214373786 272839364 428747572 750308251 1500616502 3001233004