Search a number
-
+
173344064 = 2631412131
BaseRepresentation
bin10100101010100…
…00010101000000
3110002011210100112
422111100111000
5323334002224
625111210452
74203254165
oct1225202500
9402153315
10173344064
1189936a63
124a076a28
1329bb346a
141904406c
151034130e
hexa550540

173344064 has 56 divisors (see below), whose sum is σ = 363906816. Its totient is φ = 81792000.

The previous prime is 173344057. The next prime is 173344081. The reversal of 173344064 is 460443371.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 173344064.

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, 80279 + ... + 82409.

It is an arithmetic number, because the mean of its divisors is an integer number (6498336).

Almost surely, 2173344064 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 173344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181953408).

173344064 is an abundant number, since it is smaller than the sum of its proper divisors (190562752).

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

173344064 is a wasteful number, since it uses less digits than its factorization.

173344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 173344064 is about 13166.0192921019. The cubic root of 173344064 is about 557.5746127356.

The spelling of 173344064 in words is "one hundred seventy-three million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2131 2542 2624 4262 5084 8524 10168 17048 20336 34096 40672 66061 68192 81344 87371 132122 136384 174742 264244 349484 528488 698968 1056976 1397936 2113952 2708501 2795872 4227904 5417002 5591744 10834004 21668008 43336016 86672032 173344064