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300045342620 = 225314728136643
BaseRepresentation
bin1000101110111000001…
…10001001011110011100
31001200110200020200010102
410113130012021132130
514403443101430440
6345501113000232
730451255221512
oct4273406113634
91050420220112
10300045342620
11106280856941
124a1986b3078
13223a934616a
14107451864b2
157c11668b15
hex45dc18979c

300045342620 has 96 divisors (see below), whose sum is σ = 666641719296. Its totient is φ = 113267750400.

The previous prime is 300045342577. The next prime is 300045342643. The reversal of 300045342620 is 26243540003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8170019 + ... + 8206661.

It is an arithmetic number, because the mean of its divisors is an integer number (6944184576).

Almost surely, 2300045342620 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 300045342620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333320859648).

300045342620 is an abundant number, since it is smaller than the sum of its proper divisors (366596376676).

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

300045342620 is a wasteful number, since it uses less digits than its factorization.

300045342620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37011 (or 37009 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 300045342620 its reverse (26243540003), we get a palindrome (326288882623).

The spelling of 300045342620 in words is "three hundred billion, forty-five million, three hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 281 310 470 562 620 940 1124 1405 1457 2810 2914 5620 5828 7285 8711 13207 14570 17422 26414 29140 34844 36643 43555 52828 66035 73286 87110 132070 146572 174220 183215 264140 366430 409417 732860 818834 1135933 1637668 1722221 2047085 2271866 3444442 4094170 4543732 5679665 6888884 8188340 8611105 10296683 11359330 17222210 20593366 22718660 34444420 41186732 51483415 53388851 102966830 106777702 205933660 213555404 266944255 319197173 483944101 533888510 638394346 967888202 1067777020 1276788692 1595985865 1935776404 2419720505 3191971730 4839441010 6383943460 9678882020 15002267131 30004534262 60009068524 75011335655 150022671310 300045342620