Search a number
-
+
170144430 = 23519319629
BaseRepresentation
bin10100010010000…
…11001010101110
3102212011020021120
422021003022232
5322024110210
624514441410
74134126621
oct1211031256
9385136246
10170144430
1188051035
1248b93266
1329332ca1
141884ddb8
15ee0d270
hexa2432ae

170144430 has 64 divisors (see below), whose sum is σ = 443750400. Its totient is φ = 41592960.

The previous prime is 170144417. The next prime is 170144459. The reversal of 170144430 is 34441071.

170144430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 170144430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12856 + ... + 22484.

It is an arithmetic number, because the mean of its divisors is an integer number (6933600).

Almost surely, 2170144430 is an apocalyptic number.

170144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 170144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221875200).

170144430 is an abundant number, since it is smaller than the sum of its proper divisors (273605970).

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

170144430 is a wasteful number, since it uses less digits than its factorization.

170144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9689.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 170144430 is about 13043.9422721814. The cubic root of 170144430 is about 554.1226622178.

The spelling of 170144430 in words is "one hundred seventy million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 9629 17670 19258 28887 48145 57774 96290 144435 182951 288870 298499 365902 548853 596998 895497 914755 1097706 1492495 1790994 1829510 2744265 2984990 4477485 5488530 5671481 8954970 11342962 17014443 28357405 34028886 56714810 85072215 170144430