Search a number
-
+
34288374222 = 2342069102299
BaseRepresentation
bin11111111011101111…
…110001000111001110
310021111121121212220000
4133323233301013032
51030210310433342
623430222505130
72322461241414
oct377357610716
9107447555800
1034288374222
11135a5991063
12678b1351a6
133305973a3b
141933bc72b4
15d5a36344c
hex7fbbf11ce

34288374222 has 40 divisors (see below), whose sum is σ = 76869243000. Its totient is φ = 11423822256.

The previous prime is 34288374209. The next prime is 34288374227. The reversal of 34288374222 is 22247388243.

34288374222 is a `hidden beast` number, since 34 + 28 + 8 + 374 + 222 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34288374227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284029 + ... + 386327.

It is an arithmetic number, because the mean of its divisors is an integer number (1921731075).

Almost surely, 234288374222 is an apocalyptic number.

34288374222 is an abundant number, since it is smaller than the sum of its proper divisors (42580868778).

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

34288374222 is a wasteful number, since it uses less digits than its factorization.

34288374222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104382 (or 104373 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 34288374222 in words is "thirty-four billion, two hundred eighty-eight million, three hundred seventy-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 2069 4138 6207 12414 18621 37242 55863 102299 111726 167589 204598 306897 335178 613794 920691 1841382 2762073 5524146 8286219 16572438 211656631 423313262 634969893 1269939786 1904909679 3809819358 5714729037 11429458074 17144187111 34288374222