Search a number
-
+
73038328 = 23116011381
BaseRepresentation
bin1000101101001…
…11100111111000
312002102201202021
410112213213320
5122144211303
611125244224
71544546506
oct426474770
9162381667
1073038328
1138256860
1220563674
131219375c
1499b3676
15662aebd
hex45a79f8

73038328 has 32 divisors (see below), whose sum is σ = 149753520. Its totient is φ = 33120000.

The previous prime is 73038281. The next prime is 73038331. The reversal of 73038328 is 82383037.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73038293 and 73038302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52198 + ... + 53578.

Almost surely, 273038328 is an apocalyptic number.

It is an amenable number.

73038328 is an abundant number, since it is smaller than the sum of its proper divisors (76715192).

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

73038328 is a wasteful number, since it uses less digits than its factorization.

73038328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 73038328 is about 8546.2464275259. The cubic root of 73038328 is about 418.0070510017.

The spelling of 73038328 in words is "seventy-three million, thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 601 1202 1381 2404 2762 4808 5524 6611 11048 13222 15191 26444 30382 52888 60764 121528 829981 1659962 3319924 6639848 9129791 18259582 36519164 73038328