Search a number
-
+
34050060 = 223251129593
BaseRepresentation
bin1000000111100…
…1000000001100
32101001220220100
42001321000030
532204100220
63213451100
7562264212
oct201710014
971056810
1034050060
1118247350
12b4a0a90
137092585
144744cb2
152ec8d90
hex207900c

34050060 has 144 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 7956480.

The previous prime is 34050053. The next prime is 34050061. The reversal of 34050060 is 6005043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34050061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57124 + ... + 57716.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 234050060 is an apocalyptic number.

34050060 is a gapful number since it is divisible by the number (30) 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 34050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

34050060 is an abundant number, since it is smaller than the sum of its proper divisors (82706580).

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

34050060 is a wasteful number, since it uses less digits than its factorization.

34050060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34050060 is about 5835.2429255345. The cubic root of 34050060 is about 324.1200972247.

The spelling of 34050060 in words is "thirty-four million, fifty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 593 638 660 870 957 990 1044 1186 1276 1305 1595 1740 1779 1914 1980 2372 2610 2871 2965 3190 3558 3828 4785 5220 5337 5742 5930 6380 6523 7116 8895 9570 10674 11484 11860 13046 14355 17197 17790 19140 19569 21348 26092 26685 28710 32615 34394 35580 39138 51591 53370 57420 58707 65230 68788 78276 85985 97845 103182 106740 117414 130460 154773 171970 189167 195690 206364 234828 257955 293535 309546 343940 378334 391380 515910 567501 587070 619092 756668 773865 945835 1031820 1135002 1174140 1547730 1702503 1891670 2270004 2837505 3095460 3405006 3783340 5675010 6810012 8512515 11350020 17025030 34050060