Search a number
-
+
34490459349 = 3237832694639
BaseRepresentation
bin100000000111110010…
…101010010011010101
310022000200212212120100
4200013302222103111
51031114024144344
623502242124313
72330464032033
oct400762522325
9108020785510
1034490459349
1113699a68665
126826950699
1333387ab138
14195298d553
15d6ce80569
hex807caa4d5

34490459349 has 48 divisors (see below), whose sum is σ = 51986188800. Its totient is φ = 22015732608.

The previous prime is 34490459329. The next prime is 34490459359. The reversal of 34490459349 is 94395409443.

34490459349 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 0 + 4 + 593 + 49 = 666.

It is not a de Polignac number, because 34490459349 - 25 = 34490459317 is a prime.

It is a super-2 number, since 2×344904593492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34490459295 and 34490459304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34490459329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7432572 + ... + 7437210.

It is an arithmetic number, because the mean of its divisors is an integer number (1083045600).

Almost surely, 234490459349 is an apocalyptic number.

It is an amenable number.

34490459349 is a deficient number, since it is larger than the sum of its proper divisors (17495729451).

34490459349 is a wasteful number, since it uses less digits than its factorization.

34490459349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 34490459349 in words is "thirty-four billion, four hundred ninety million, four hundred fifty-nine thousand, three hundred forty-nine".

Divisors: 1 3 9 37 83 111 249 269 333 747 807 2421 3071 4639 9213 9953 13917 22327 27639 29859 41751 66981 89577 171643 200943 385037 514929 826099 1155111 1247891 1544787 2478297 3465333 3743673 7434891 11231019 14246369 42739107 46171967 103574953 128217321 138515901 310724859 415547703 932174577 3832273261 11496819783 34490459349