Search a number
-
+
34600190340 = 22355310880563
BaseRepresentation
bin100000001110010101…
…010000000110000100
310022022100100210012010
4200032111100012010
51031330122042330
623521202054220
72333265523332
oct401625200604
9108270323163
1034600190340
11137459a6131
12685764a370
13335544ac11
141963394b52
15d779083b0
hex80e550184

34600190340 has 48 divisors (see below), whose sum is σ = 98708476608. Its totient is φ = 9052627584.

The previous prime is 34600190333. The next prime is 34600190341. The reversal of 34600190340 is 4309100643.

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 = 34600190298 and 34600190307.

It is not an unprimeable number, because it can be changed into a prime (34600190341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437102 + ... + 5443461.

It is an arithmetic number, because the mean of its divisors is an integer number (2056426596).

Almost surely, 234600190340 is an apocalyptic number.

34600190340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34600190340 is an abundant number, since it is smaller than the sum of its proper divisors (64108286268).

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

34600190340 is a wasteful number, since it uses less digits than its factorization.

34600190340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880628 (or 10880626 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 34600190340 its reverse (4309100643), we get a palindrome (38909290983).

The spelling of 34600190340 in words is "thirty-four billion, six hundred million, one hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 10880563 21761126 32641689 43522252 54402815 65283378 108805630 130566756 163208445 217611260 326416890 576669839 652833780 1153339678 1730009517 2306679356 2883349195 3460019034 5766698390 6920038068 8650047585 11533396780 17300095170 34600190340