Search a number
-
+
34009335 = 3351913259
BaseRepresentation
bin1000000110111…
…1000011110111
32100222212001000
42001233003313
532201244320
63212534343
7562034403
oct201570367
970885030
1034009335
1118219798
12b4813b3
137079b89
144734103
152ebbc90
hex206f0f7

34009335 has 32 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 17182368.

The previous prime is 34009321. The next prime is 34009337. The reversal of 34009335 is 53390043.

It is not a de Polignac number, because 34009335 - 27 = 34009207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34009299 and 34009308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34009337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4065 + ... + 9194.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 234009335 is an apocalyptic number.

34009335 is a deficient number, since it is larger than the sum of its proper divisors (29638665).

34009335 is a wasteful number, since it uses less digits than its factorization.

34009335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 34009335 is about 5831.7523095550. The cubic root of 34009335 is about 323.9908262149.

Adding to 34009335 its reverse (53390043), we get a palindrome (87399378).

The spelling of 34009335 in words is "thirty-four million, nine thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 13259 39777 66295 119331 198885 251921 357993 596655 755763 1259605 1789965 2267289 3778815 6801867 11336445 34009335