Search a number
-
+
34214244600 = 23352173329617
BaseRepresentation
bin11111110111010100…
…111111000011111000
310021022110010201011110
4133313110333003320
51030032321311400
623415014000320
72320601165154
oct376724770370
9107273121143
1034214244600
111356805a408
12676a3460a0
1332c34ba663
14192800c064
15d53abde50
hex7f753f0f8

34214244600 has 96 divisors (see below), whose sum is σ = 106677569520. Its totient is φ = 9071032320.

The previous prime is 34214244593. The next prime is 34214244613. The reversal of 34214244600 is 644241243.

It is a super-2 number, since 2×342142446002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61009 + ... + 268608.

Almost surely, 234214244600 is an apocalyptic number.

34214244600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34214244600 is an abundant number, since it is smaller than the sum of its proper divisors (72463324920).

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

34214244600 is a wasteful number, since it uses less digits than its factorization.

34214244600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329809 (or 329800 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34214244600 its reverse (644241243), we get a palindrome (34858485843).

The spelling of 34214244600 in words is "thirty-four billion, two hundred fourteen million, two hundred forty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 173 200 300 346 519 600 692 865 1038 1384 1730 2076 2595 3460 4152 4325 5190 6920 8650 10380 12975 17300 20760 25950 34600 51900 103800 329617 659234 988851 1318468 1648085 1977702 2636936 3296170 3955404 4944255 6592340 7910808 8240425 9888510 13184680 16480850 19777020 24721275 32961700 39554040 49442550 57023741 65923400 98885100 114047482 171071223 197770200 228094964 285118705 342142446 456189928 570237410 684284892 855356115 1140474820 1368569784 1425593525 1710712230 2280949640 2851187050 3421424460 4276780575 5702374100 6842848920 8553561150 11404748200 17107122300 34214244600