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3004300240 = 245291294957
BaseRepresentation
bin1011001100010001…
…1111101111010000
321202101010021011021
42303010133233100
522123100101430
61214040325224
7134310062554
oct26304375720
97671107137
103004300240
111301938267
126ba173814
1338b55b966
14207005864
15128b4307a
hexb311fbd0

3004300240 has 40 divisors (see below), whose sum is σ = 7225865640. Its totient is φ = 1160280576.

The previous prime is 3004300223. The next prime is 3004300291. The reversal of 3004300240 is 420034003.

It can be written as a sum of positive squares in 4 ways, for example, as 334304656 + 2669995584 = 18284^2 + 51672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 645159 + ... + 649798.

It is an arithmetic number, because the mean of its divisors is an integer number (180646641).

Almost surely, 23004300240 is an apocalyptic number.

It is an amenable number.

3004300240 is an abundant number, since it is smaller than the sum of its proper divisors (4221565400).

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

3004300240 is a wasteful number, since it uses less digits than its factorization.

3004300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294999 (or 1294993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3004300240 is about 54811.4973340448. The cubic root of 3004300240 is about 1442.9383545627.

Adding to 3004300240 its reverse (420034003), we get a palindrome (3424334243).

The spelling of 3004300240 in words is "three billion, four million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1294957 2589914 5179828 6474785 10359656 12949570 20719312 25899140 37553753 51798280 75107506 103596560 150215012 187768765 300430024 375537530 600860048 751075060 1502150120 3004300240