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3001203664 = 241729093793
BaseRepresentation
bin1011001011100010…
…1011101111010000
321202011021221110021
42302320223233100
522121302004124
61213450113224
7134241544624
oct26270535720
97664257407
103001203664
111300112808
126b911b814
1338aa16374
1420683b184
151287307e4
hexb2e2bbd0

3001203664 has 40 divisors (see below), whose sum is σ = 6160621320. Its totient is φ = 1411473408.

The previous prime is 3001203661. The next prime is 3001203677. The reversal of 3001203664 is 4663021003.

It can be written as a sum of positive squares in 4 ways, for example, as 884467600 + 2116736064 = 29740^2 + 46008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001203661) 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 7 ways as a sum of consecutive naturals, for example, 789352 + ... + 793144.

It is an arithmetic number, because the mean of its divisors is an integer number (154015533).

Almost surely, 23001203664 is an apocalyptic number.

3001203664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3001203664 is an abundant number, since it is smaller than the sum of its proper divisors (3159417656).

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

3001203664 is a wasteful number, since it uses less digits than its factorization.

3001203664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3001203664 is about 54783.2425473338. The cubic root of 3001203664 is about 1442.4424316149.

Adding to 3001203664 its reverse (4663021003), we get a palindrome (7664224667).

The spelling of 3001203664 in words is "three billion, one million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 2909 3793 5818 7586 11636 15172 23272 30344 46544 49453 60688 64481 98906 128962 197812 257924 395624 515848 791248 1031696 11033837 22067674 44135348 88270696 176541392 187575229 375150458 750300916 1500601832 3001203664