Search a number
-
+
34606025040 = 2435433353297
BaseRepresentation
bin100000001110101011…
…100000100101010000
310022022202100012220010
4200032223200211100
51031333120300130
623521531114520
72333366234166
oct401653404520
9108282305803
1034606025040
11137492208a4
1268595a2a40
1333567118c2
141964073236
15d781ac0b0
hex80eae0950

34606025040 has 80 divisors (see below), whose sum is σ = 109773563328. Its totient is φ = 9013659648.

The previous prime is 34606025039. The next prime is 34606025093. The reversal of 34606025040 is 4052060643.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 34606024989 and 34606025007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666329 + ... + 1686968.

Almost surely, 234606025040 is an apocalyptic number.

34606025040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34606025040 is an abundant number, since it is smaller than the sum of its proper divisors (75167538288).

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

34606025040 is a wasteful number, since it uses less digits than its factorization.

34606025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353356 (or 3353350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34606025040 its reverse (4052060643), we get a palindrome (38658085683).

The spelling of 34606025040 in words is "thirty-four billion, six hundred six million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 3353297 6706594 10059891 13413188 16766485 20119782 26826376 33532970 40239564 50299455 53652752 67065940 80479128 100598910 134131880 144191771 160958256 201197820 268263760 288383542 402395640 432575313 576767084 720958855 804791280 865150626 1153534168 1441917710 1730301252 2162876565 2307068336 2883835420 3460602504 4325753130 5767670840 6921205008 8651506260 11535341680 17303012520 34606025040