Search a number
-
+
34112312444 = 2272942010237
BaseRepresentation
bin11111110001010000…
…001001010001111100
310021001100100000112102
4133301100021101330
51024330222444234
623400533124232
72315222604650
oct376120112174
9107040300472
1034112312444
1113515569261
126740189678
1332a834b582
141918676a60
15d49b86c7e
hex7f140947c

34112312444 has 24 divisors (see below), whose sum is σ = 70577199840. Its totient is φ = 14115439296.

The previous prime is 34112312441. The next prime is 34112312447. The reversal of 34112312444 is 44421321143.

It is an interprime number because it is at equal distance from previous prime (34112312441) and next prime (34112312447).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112312441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21004307 + ... + 21005930.

It is an arithmetic number, because the mean of its divisors is an integer number (2940716660).

Almost surely, 234112312444 is an apocalyptic number.

It is an amenable number.

34112312444 is an abundant number, since it is smaller than the sum of its proper divisors (36464887396).

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

34112312444 is a wasteful number, since it uses less digits than its factorization.

34112312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42010277 (or 42010275 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 34112312444 its reverse (44421321143), we get a palindrome (78533633587).

The spelling of 34112312444 in words is "thirty-four billion, one hundred twelve million, three hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 42010237 84020474 168040948 294071659 588143318 1176286636 1218296873 2436593746 4873187492 8528078111 17056156222 34112312444