Search a number
-
+
34401423300 = 22352435235099
BaseRepresentation
bin100000000010011111…
…000000111111000100
310021210111100101001220
4200002133000333010
51030423231021200
623445341520340
72325333162516
oct400237007704
9107714311056
1034401423300
1113653785552
126800b730b0
133323205b9a
141944c13bb6
15d652444a0
hex8027c0fc4

34401423300 has 144 divisors (see below), whose sum is σ = 102064300800. Its totient is φ = 8941484160.

The previous prime is 34401423283. The next prime is 34401423307. The reversal of 34401423300 is 332410443.

It is not an unprimeable number, because it can be changed into a prime (34401423307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6744151 + ... + 6749249.

Almost surely, 234401423300 is an apocalyptic number.

34401423300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51032150400).

34401423300 is an abundant number, since it is smaller than the sum of its proper divisors (67662877500).

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

34401423300 is a wasteful number, since it uses less digits than its factorization.

34401423300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34401423300 its reverse (332410443), we get a palindrome (34733833743).

The spelling of 34401423300 in words is "thirty-four billion, four hundred one million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 523 645 860 1046 1075 1290 1569 2092 2150 2580 2615 3138 3225 4300 5099 5230 6276 6450 7845 10198 10460 12900 13075 15297 15690 20396 22489 25495 26150 30594 31380 39225 44978 50990 52300 61188 67467 76485 78450 89956 101980 112445 127475 134934 152970 156900 219257 224890 254950 269868 305940 337335 382425 438514 449780 509900 562225 657771 674670 764850 877028 1096285 1124450 1315542 1349340 1529700 1686675 2192570 2248900 2631084 2666777 3288855 3373350 4385140 5333554 5481425 6577710 6746700 8000331 10667108 10962850 13155420 13333885 16000662 16444275 21925700 26667770 32001324 32888550 40001655 53335540 65777100 66669425 80003310 114671411 133338850 160006620 200008275 229342822 266677700 344014233 400016550 458685644 573357055 688028466 800033100 1146714110 1376056932 1720071165 2293428220 2866785275 3440142330 5733570550 6880284660 8600355825 11467141100 17200711650 34401423300