Search a number
-
+
34040100200420 = 225231709332913007
BaseRepresentation
bin1111011110101100101000…
…00101001001111111100100
311110112012110002222201001102
413233112110011021333210
513430203111122403140
6200221450043415232
710112213262441536
oct757262405117744
9143465402881042
1034040100200420
11a934364159826
123999248824518
1315cbc76ca1012
1485979a2db856
153e06db45ee15
hex1ef594149fe4

34040100200420 has 96 divisors (see below), whose sum is σ = 74664026035200. Its totient is φ = 13011507052544.

The previous prime is 34040100200371. The next prime is 34040100200441. The reversal of 34040100200420 is 2400200104043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34040100200392 and 34040100200401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617053557 + ... + 2617066563.

It is an arithmetic number, because the mean of its divisors is an integer number (777750271200).

Almost surely, 234040100200420 is an apocalyptic number.

It is an amenable number.

34040100200420 is an abundant number, since it is smaller than the sum of its proper divisors (40623925834780).

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

34040100200420 is a wasteful number, since it uses less digits than its factorization.

34040100200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18077 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34040100200420 its reverse (2400200104043), we get a palindrome (36440300304463).

The spelling of 34040100200420 in words is "thirty-four trillion, forty billion, one hundred million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1709 3329 3418 6658 6836 8545 13007 13316 16645 17090 26014 33290 34180 39307 52028 65035 66580 76567 78614 130070 153134 157228 196535 260140 299161 306268 382835 393070 598322 765670 786140 1196644 1495805 1531340 2991610 5689261 5983220 11378522 22228963 22757044 28446305 43300303 44457926 56892610 86600606 88915852 111144815 113785220 130853003 173201212 216501515 222289630 261706006 433003030 444579260 511266149 523412012 654265015 866006060 995906969 1022532298 1308530030 1991813938 2045064596 2556330745 2617060060 3983627876 4979534845 5112661490 9959069690 10225322980 19918139380 74000217827 148000435654 296000871308 370001089135 740002178270 1480004356540 1702005010021 3404010020042 6808020040084 8510025050105 17020050100210 34040100200420