Search a number
-
+
34794045 = 32511135407
BaseRepresentation
bin1000010010111…
…0101000111101
32102110201110100
42010232220331
532401402140
63241431313
7601513236
oct204565075
972421410
1034794045
1118705310
12b79b539
1372930c0
14489a08d
1530c4530
hex212ea3d

34794045 has 48 divisors (see below), whose sum is σ = 70866432. Its totient is φ = 15569280.

The previous prime is 34794029. The next prime is 34794061. The reversal of 34794045 is 54049743.

34794045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34794029) and next prime (34794061).

It is not a de Polignac number, because 34794045 - 24 = 34794029 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 3732 + ... + 9138.

It is an arithmetic number, because the mean of its divisors is an integer number (1476384).

Almost surely, 234794045 is an apocalyptic number.

It is an amenable number.

34794045 is an abundant number, since it is smaller than the sum of its proper divisors (36072387).

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

34794045 is a wasteful number, since it uses less digits than its factorization.

34794045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34794045 is about 5898.6477263861. The cubic root of 34794045 is about 326.4637565135.

The spelling of 34794045 in words is "thirty-four million, seven hundred ninety-four thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 5407 6435 16221 27035 48663 59477 70291 81105 178431 210873 243315 297385 351455 535293 632619 773201 892155 1054365 2319603 2676465 3163095 3866005 6958809 11598015 34794045