Search a number
-
+
173430340740 = 223255361298021
BaseRepresentation
bin1010000110000101000…
…0001111110010000100
3121120122122210010222100
42201201100033302010
510320141131400430
6211401154032100
715346523400366
oct2414120176204
9546578703870
10173430340740
11676079a6a18
1229741578630
131347b843cc7
1485734a0d36
1547a0a97960
hex286140fc84

173430340740 has 144 divisors (see below), whose sum is σ = 544786600176. Its totient is φ = 44631475200.

The previous prime is 173430340717. The next prime is 173430340763. The reversal of 173430340740 is 47043034371.

173430340740 is a `hidden beast` number, since 173 + 43 + 0 + 3 + 407 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (173430340717) and next prime (173430340763).

It can be written as a sum of positive squares in 8 ways, for example, as 28488713796 + 144941626944 = 168786^2 + 380712^2 .

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 = 173430340695 and 173430340704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432930 + ... + 730950.

It is an arithmetic number, because the mean of its divisors is an integer number (3783240279).

Almost surely, 2173430340740 is an apocalyptic number.

173430340740 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 173430340740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272393300088).

173430340740 is an abundant number, since it is smaller than the sum of its proper divisors (371356259436).

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

173430340740 is a wasteful number, since it uses less digits than its factorization.

173430340740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298150 (or 298145 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 173430340740 in words is "one hundred seventy-three billion, four hundred thirty million, three hundred forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 61 90 106 122 159 180 183 212 244 265 305 318 366 477 530 549 610 636 732 795 915 954 1060 1098 1220 1590 1830 1908 2196 2385 2745 3180 3233 3660 4770 5490 6466 9540 9699 10980 12932 16165 19398 29097 32330 38796 48495 58194 64660 96990 116388 145485 193980 290970 298021 581940 596042 894063 1192084 1490105 1788126 2682189 2980210 3576252 4470315 5364378 5960420 8940630 10728756 13410945 15795113 17881260 18179281 26821890 31590226 36358562 47385339 53643780 54537843 63180452 72717124 78975565 90896405 94770678 109075686 142156017 157951130 163613529 181792810 189541356 218151372 236926695 272689215 284312034 315902260 327227058 363585620 473853390 545378430 568624068 654454116 710780085 818067645 947706780 963501893 1090756860 1421560170 1636135290 1927003786 2843120340 2890505679 3272270580 3854007572 4817509465 5781011358 8671517037 9635018930 11562022716 14452528395 17343034074 19270037860 28905056790 34686068148 43357585185 57810113580 86715170370 173430340740