Search a number
-
+
34360326350 = 2527281117293
BaseRepresentation
bin100000000000000010…
…001111100011001110
310021200122000102122122
4200000002033203032
51030332220420400
623441313012542
72324323645400
oct400002174316
9107618012578
1034360326350
1113632565829
1267ab254152
133317846c6c
14193d596b70
15d61827685
hex80008f8ce

34360326350 has 72 divisors (see below), whose sum is σ = 74440501128. Its totient is φ = 11765476800.

The previous prime is 34360326323. The next prime is 34360326361. The reversal of 34360326350 is 5362306343.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34360326350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1978304 + ... + 1995596.

It is an arithmetic number, because the mean of its divisors is an integer number (1033895849).

Almost surely, 234360326350 is an apocalyptic number.

34360326350 is an abundant number, since it is smaller than the sum of its proper divisors (40080174778).

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

34360326350 is a wasteful number, since it uses less digits than its factorization.

34360326350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18130 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 35.

The spelling of 34360326350 in words is "thirty-four billion, three hundred sixty million, three hundred twenty-six thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 811 1225 1622 2450 4055 5677 8110 11354 17293 20275 28385 34586 39739 40550 56770 79478 86465 121051 141925 172930 198695 242102 283850 397390 432325 605255 847357 864650 993475 1210510 1694714 1986950 3026275 4236785 6052550 8473570 14024623 21183925 28049246 42367850 70123115 98172361 140246230 196344722 350615575 490861805 687206527 701231150 981723610 1374413054 2454309025 3436032635 4908618050 6872065270 17180163175 34360326350