Search a number
-
+
34530675420 = 22352023128447
BaseRepresentation
bin100000001010001100…
…000100101011011100
310022010111120001122110
4200022030010223130
51031204323103140
623510240114020
72331462620043
oct401214045334
9108114501573
1034530675420
111370a73658a
126838305910
133343c1c127
14195805b55a
15d71776380
hex80a304adc

34530675420 has 48 divisors (see below), whose sum is σ = 96694069248. Its totient is φ = 9207401280.

The previous prime is 34530675419. The next prime is 34530675479. The reversal of 34530675420 is 2457603543.

It is a super-2 number, since 2×345306754202 (a number of 22 digits) contains 22 as substring.

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, 1199637 + ... + 1228083.

It is an arithmetic number, because the mean of its divisors is an integer number (2014459776).

Almost surely, 234530675420 is an apocalyptic number.

34530675420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34530675420 is an abundant number, since it is smaller than the sum of its proper divisors (62163393828).

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

34530675420 is a wasteful number, since it uses less digits than its factorization.

34530675420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48690 (or 48688 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 34530675420 in words is "thirty-four billion, five hundred thirty million, six hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20231 28447 40462 56894 60693 80924 85341 101155 113788 121386 142235 170682 202310 242772 284470 303465 341364 404620 426705 568940 606930 853410 1213860 1706820 575511257 1151022514 1726533771 2302045028 2877556285 3453067542 5755112570 6906135084 8632668855 11510225140 17265337710 34530675420