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3004315040 = 25597193577
BaseRepresentation
bin1011001100010010…
…0011010110100000
321202101011000110102
42303010203112200
522123101040130
61214040521532
7134310153656
oct26304432640
97671130412
103004315040
1113019483a1
126ba1802a8
1338b56560c
1420700add6
15128b47645
hexb31235a0

3004315040 has 48 divisors (see below), whose sum is σ = 7170903432. Its totient is φ = 1189330944.

The previous prime is 3004315033. The next prime is 3004315043. The reversal of 3004315040 is 405134003.

It can be written as a sum of positive squares in 4 ways, for example, as 2846862736 + 157452304 = 53356^2 + 12548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3004315043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81269 + ... + 112308.

Almost surely, 23004315040 is an apocalyptic number.

It is an amenable number.

3004315040 is an abundant number, since it is smaller than the sum of its proper divisors (4166588392).

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

3004315040 is a wasteful number, since it uses less digits than its factorization.

3004315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193689 (or 193681 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3004315040 is about 54811.6323420494. The cubic root of 3004315040 is about 1442.9407239944.

Adding to 3004315040 its reverse (405134003), we get a palindrome (3409449043).

The spelling of 3004315040 in words is "three billion, four million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 193577 387154 774308 967885 1548616 1935770 3097232 3871540 6194464 7743080 15486160 18776969 30972320 37553938 75107876 93884845 150215752 187769690 300431504 375539380 600863008 751078760 1502157520 3004315040