Search a number
-
+
73340300 = 225211611093
BaseRepresentation
bin1000101111100…
…01010110001100
312010000001222102
410113301112030
5122233342200
611135534232
71550245055
oct427612614
9163001872
1073340300
1138442720
122068a378
131226b037
149a5172c
15668a6d5
hex45f158c

73340300 has 72 divisors (see below), whose sum is σ = 176624112. Its totient is φ = 26208000.

The previous prime is 73340297. The next prime is 73340303. The reversal of 73340300 is 304337.

It is an interprime number because it is at equal distance from previous prime (73340297) and next prime (73340303).

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 (73340303) 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 23 ways as a sum of consecutive naturals, for example, 66554 + ... + 67646.

Almost surely, 273340300 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 73340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88312056).

73340300 is an abundant number, since it is smaller than the sum of its proper divisors (103283812).

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

73340300 is a wasteful number, since it uses less digits than its factorization.

73340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 20.

The square root of 73340300 is about 8563.8951418149. The cubic root of 73340300 is about 418.5823328157.

Adding to 73340300 its reverse (304337), we get a palindrome (73644637).

The spelling of 73340300 in words is "seventy-three million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1093 1100 1220 1342 1525 2186 2684 3050 3355 4372 5465 6100 6710 10930 12023 13420 16775 21860 24046 27325 33550 48092 54650 60115 66673 67100 109300 120230 133346 240460 266692 300575 333365 601150 666730 733403 1202300 1333460 1466806 1666825 2933612 3333650 3667015 6667300 7334030 14668060 18335075 36670150 73340300