Search a number
-
+
34012232434020 = 2235836829765549
BaseRepresentation
bin1111011101111000101110…
…00010000100000101100100
311110102112111221212111022010
413232330113002010011210
513424224023000342040
6200201000500434220
710110205553360301
oct756742702040544
9143375457774263
1034012232434020
11a92356356a425
12399396b9a8970
1315c94555a1609
148582b51300a8
153deb09b18e80
hex1eef17084164

34012232434020 has 48 divisors (see below), whose sum is σ = 96381651441600. Its totient is φ = 8960652398976.

The previous prime is 34012232434001. The next prime is 34012232434091. The reversal of 34012232434020 is 2043423221043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414877795 + ... + 3414887754.

It is an arithmetic number, because the mean of its divisors is an integer number (2007951071700).

Almost surely, 234012232434020 is an apocalyptic number.

34012232434020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34012232434020 is an abundant number, since it is smaller than the sum of its proper divisors (62369419007580).

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

34012232434020 is a wasteful number, since it uses less digits than its factorization.

34012232434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829765644 (or 6829765642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34012232434020 its reverse (2043423221043), we get a palindrome (36055655655063).

The spelling of 34012232434020 in words is "thirty-four trillion, twelve billion, two hundred thirty-two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 6829765549 13659531098 20489296647 27319062196 34148827745 40978593294 68297655490 81957186588 102446483235 136595310980 204892966470 409785932940 566870540567 1133741081134 1700611621701 2267482162268 2834352702835 3401223243402 5668705405670 6802446486804 8503058108505 11337410811340 17006116217010 34012232434020