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2421330768 = 243241410117
BaseRepresentation
bin1001000001010010…
…1001001101010000
320020202011100101100
42100110221031100
514424330041033
61040133304400
7114000654243
oct22024511520
96222140340
102421330768
11103286170a
12576a95100
132c78469cc
1418d81325a
15e288b513
hex90529350

2421330768 has 60 divisors (see below), whose sum is σ = 6941657268. Its totient is φ = 787422720.

The previous prime is 2421330763. The next prime is 2421330787. The reversal of 2421330768 is 8670331242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147185424 + 2274145344 = 12132^2 + 47688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421330761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199155 + ... + 210962.

Almost surely, 22421330768 is an apocalyptic number.

It is an amenable number.

2421330768 is an abundant number, since it is smaller than the sum of its proper divisors (4520326500).

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

2421330768 is a wasteful number, since it uses less digits than its factorization.

2421330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410172 (or 410163 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2421330768 is about 49207.0194992544. The cubic root of 2421330768 is about 1342.8207396111.

The spelling of 2421330768 in words is "two billion, four hundred twenty-one million, three hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 410117 820234 1230351 1640468 2460702 3280936 3691053 4921404 6561872 7382106 9842808 14764212 16814797 19685616 29528424 33629594 50444391 59056848 67259188 100888782 134518376 151333173 201777564 269036752 302666346 403555128 605332692 807110256 1210665384 2421330768