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3003315040 = 255114736307
BaseRepresentation
bin1011001100000010…
…1111001101100000
321202022021012201101
42303000233031200
522122322040130
61214003244144
7134265520345
oct26300571540
97668235641
103003315040
111301325050
126b9979654
1338b2a53bb
14206c2a7cc
151289eb1ca
hexb302f360

3003315040 has 96 divisors (see below), whose sum is σ = 7905268224. Its totient is φ = 1068848640.

The previous prime is 3003315031. The next prime is 3003315071. The reversal of 3003315040 is 405133003.

It is a junction number, because it is equal to n+sod(n) for n = 3003314999 and 3003315017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64567 + ... + 100873.

It is an arithmetic number, because the mean of its divisors is an integer number (82346544).

Almost surely, 23003315040 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 3003315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952634112).

3003315040 is an abundant number, since it is smaller than the sum of its proper divisors (4901953184).

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

3003315040 is a wasteful number, since it uses less digits than its factorization.

3003315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36380 (or 36372 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3003315040 is about 54802.5094315945. The cubic root of 3003315040 is about 1442.7806097553.

Adding to 3003315040 its reverse (405133003), we get a palindrome (3408448043).

It can be divided in two parts, 300331 and 5040, that added together give a triangular number (305371 = T781).

The spelling of 3003315040 in words is "three billion, three million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 517 752 880 940 1034 1504 1760 1880 2068 2585 3760 4136 5170 7520 8272 10340 16544 20680 36307 41360 72614 82720 145228 181535 290456 363070 399377 580912 726140 798754 1161824 1452280 1597508 1706429 1996885 2904560 3195016 3412858 3993770 5809120 6390032 6825716 7987540 8532145 12780064 13651432 15975080 17064290 18770719 27302864 31950160 34128580 37541438 54605728 63900320 68257160 75082876 93853595 136514320 150165752 187707190 273028640 300331504 375414380 600663008 750828760 1501657520 3003315040