Search a number
-
+
34769394 = 23211414283
BaseRepresentation
bin1000010010100…
…0100111110010
32102102110122100
42010220213302
532400110034
63241121230
7601351332
oct204504762
972373570
1034769394
1118698840
12b789216
137284b0a
1448910c2
1530bc099
hex21289f2

34769394 has 48 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 10276800.

The previous prime is 34769393. The next prime is 34769417. The reversal of 34769394 is 49396743.

34769394 is a `hidden beast` number, since 3 + 476 + 93 + 94 = 666.

It is not an unprimeable number, because it can be changed into a prime (34769393) 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 23 ways as a sum of consecutive naturals, for example, 5977 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 234769394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34769394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

34769394 is an abundant number, since it is smaller than the sum of its proper divisors (49436910).

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

34769394 is a wasteful number, since it uses less digits than its factorization.

34769394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4340 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34769394 is about 5896.5578094342. The cubic root of 34769394 is about 326.3866402584.

The spelling of 34769394 in words is "thirty-four million, seven hundred sixty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 4283 8118 8566 12849 25698 38547 47113 77094 94226 141339 175603 282678 351206 424017 526809 848034 1053618 1580427 1931633 3160854 3863266 5794899 11589798 17384697 34769394