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34230200020 = 2256197289253
BaseRepresentation
bin11111111000010001…
…110110011011010100
310021100120011022212221
4133320101312123110
51030100412400040
623420343552124
72321153620342
oct377021663324
9107316138787
1034230200020
1113576067a05
12677375b644
1332c68b5b33
14192a1a2992
15d551c174a
hex7f84766d4

34230200020 has 48 divisors (see below), whose sum is σ = 73815306768. Its totient is φ = 13328732160.

The previous prime is 34230199999. The next prime is 34230200023. The reversal of 34230200020 is 2000203243.

It can be written as a sum of positive squares in 8 ways, for example, as 4542220816 + 29687979204 = 67396^2 + 172302^2 .

It is a super-4 number, since 4×342302000204 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34230199967 and 34230200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34230200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26287 + ... + 262966.

It is an arithmetic number, because the mean of its divisors is an integer number (1537818891).

Almost surely, 234230200020 is an apocalyptic number.

It is an amenable number.

34230200020 is an abundant number, since it is smaller than the sum of its proper divisors (39585106748).

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

34230200020 is a wasteful number, since it uses less digits than its factorization.

34230200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289420 (or 289418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34230200020 its reverse (2000203243), we get a palindrome (36230403263).

The spelling of 34230200020 in words is "thirty-four billion, two hundred thirty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 61 97 122 194 244 305 388 485 610 970 1220 1940 5917 11834 23668 29585 59170 118340 289253 578506 1157012 1446265 2892530 5785060 17644433 28057541 35288866 56115082 70577732 88222165 112230164 140287705 176444330 280575410 352888660 561150820 1711510001 3423020002 6846040004 8557550005 17115100010 34230200020