Search a number
-
+
34004000340 = 2233562970371
BaseRepresentation
bin11111101010110010…
…111101111001010100
310020202210112012021000
4133222302331321110
51024120011002330
623342103423300
72312436143142
oct375262757124
9106683465230
1034004000340
111346a40a822
12670ba54b30
13328ba8757b
141908120592
15d403de560
hex7eacbde54

34004000340 has 48 divisors (see below), whose sum is σ = 105790224960. Its totient is φ = 9067733280.

The previous prime is 34004000309. The next prime is 34004000353. The reversal of 34004000340 is 4300040043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31484646 + ... + 31485725.

It is an arithmetic number, because the mean of its divisors is an integer number (2203963020).

Almost surely, 234004000340 is an apocalyptic number.

34004000340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34004000340 is an abundant number, since it is smaller than the sum of its proper divisors (71786224620).

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

34004000340 is a wasteful number, since it uses less digits than its factorization.

34004000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62970389 (or 62970381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34004000340 its reverse (4300040043), we get a palindrome (38304040383).

It can be divided in two parts, 340040003 and 40, that added together give a palindrome (340040043).

The spelling of 34004000340 in words is "thirty-four billion, four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 62970371 125940742 188911113 251881484 314851855 377822226 566733339 629703710 755644452 944555565 1133466678 1259407420 1700200017 1889111130 2266933356 2833666695 3400400034 3778222260 5667333390 6800800068 8501000085 11334666780 17002000170 34004000340