Search a number
-
+
172064328 = 233431371217
BaseRepresentation
bin10100100000101…
…11111001001000
3102222202202212220
422100113321020
5323022024303
625023534040
74156344162
oct1220277110
9388682786
10172064328
1189142527
124975a320
1329855b17
1418bcd932
151018c053
hexa417e48

172064328 has 64 divisors (see below), whose sum is σ = 443741760. Its totient is φ = 55566336.

The previous prime is 172064317. The next prime is 172064339. The reversal of 172064328 is 823460271.

It is an interprime number because it is at equal distance from previous prime (172064317) and next prime (172064339).

It is a super-2 number, since 2×1720643282 = 59212265940183168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140776 + ... + 141992.

It is an arithmetic number, because the mean of its divisors is an integer number (6933465).

Almost surely, 2172064328 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 172064328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221870880).

172064328 is an abundant number, since it is smaller than the sum of its proper divisors (271677432).

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

172064328 is a wasteful number, since it uses less digits than its factorization.

172064328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 172064328 is about 13117.3293013479. The cubic root of 172064328 is about 556.1990988562.

The spelling of 172064328 in words is "one hundred seventy-two million, sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 172 258 274 344 411 516 548 822 1032 1096 1217 1644 2434 3288 3651 4868 5891 7302 9736 11782 14604 17673 23564 29208 35346 47128 52331 70692 104662 141384 156993 166729 209324 313986 333458 418648 500187 627972 666916 1000374 1255944 1333832 2000748 4001496 7169347 14338694 21508041 28677388 43016082 57354776 86032164 172064328