Search a number
-
+
174890340 = 22345891213
BaseRepresentation
bin10100110110010…
…01110101100100
3110012002100110000
422123021311210
5324232442330
625204301300
74222354242
oct1233116544
9405070400
10174890340
118a7a2779
124a6a1830
132a305211
1419327792
1510549560
hexa6c9d64

174890340 has 120 divisors (see below), whose sum is σ = 555259320. Its totient is φ = 46075392.

The previous prime is 174890333. The next prime is 174890341. The reversal of 174890340 is 43098471.

It is a happy number.

174890340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 171714816 = 1782^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 174890295 and 174890304.

It is not an unprimeable number, because it can be changed into a prime (174890341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143574 + ... + 144786.

It is an arithmetic number, because the mean of its divisors is an integer number (4627161).

Almost surely, 2174890340 is an apocalyptic number.

174890340 is a gapful number since it is divisible by the number (10) 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 174890340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277629660).

174890340 is an abundant number, since it is smaller than the sum of its proper divisors (380368980).

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

174890340 is a wasteful number, since it uses less digits than its factorization.

174890340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 174890340 is about 13224.6111474024. The cubic root of 174890340 is about 559.2276128861.

The spelling of 174890340 in words is "one hundred seventy-four million, eight hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1213 1335 1602 1620 1780 2403 2426 2670 3204 3639 4005 4806 4852 5340 6065 7209 7278 8010 9612 10917 12015 12130 14418 14556 16020 18195 21834 24030 24260 28836 32751 36045 36390 43668 48060 54585 65502 72090 72780 98253 107957 109170 131004 144180 163755 196506 215914 218340 323871 327510 393012 431828 491265 539785 647742 655020 971613 982530 1079570 1295484 1619355 1943226 1965060 2159140 2914839 3238710 3886452 4858065 5829678 6477420 8744517 9716130 11659356 14574195 17489034 19432260 29148390 34978068 43722585 58296780 87445170 174890340