Search a number
-
+
73336340 = 22572116803
BaseRepresentation
bin1000101111100…
…00011000010100
312002222212112202
410113300120110
5122233230330
611135504032
71550230400
oct427603024
9162885482
1073336340
113843a750
1220688018
13122692ac
149a50100
156689445
hex45f0614

73336340 has 72 divisors (see below), whose sum is σ = 195465312. Its totient is φ = 22854720.

The previous prime is 73336339. The next prime is 73336343. The reversal of 73336340 is 4363337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73336343) 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 23 ways as a sum of consecutive naturals, for example, 7379 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 273336340 is an apocalyptic number.

73336340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73336340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97732656).

73336340 is an abundant number, since it is smaller than the sum of its proper divisors (122128972).

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

73336340 is a wasteful number, since it uses less digits than its factorization.

73336340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 29.

The square root of 73336340 is about 8563.6639354893. The cubic root of 73336340 is about 418.5747989139.

Adding to 73336340 its reverse (4363337), we get a palindrome (77699677).

It can be divided in two parts, 733 and 36340, that added together give a palindrome (37073).

The spelling of 73336340 in words is "seventy-three million, three hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 6803 10780 13606 27212 34015 47621 68030 74833 95242 136060 149666 190484 238105 299332 333347 374165 476210 523831 666694 748330 952420 1047662 1333388 1496660 1666735 2095324 2619155 3333470 3666817 5238310 6666940 7333634 10476620 14667268 18334085 36668170 73336340