Search a number
-
+
34038048 = 2531132233
BaseRepresentation
bin1000000111011…
…0000100100000
32101001022102110
42001312010200
532203204143
63213315320
7562214202
oct201660440
971038373
1034038048
1118239320
12b495b40
137089c75
144740772
152ec5533
hex2076120

34038048 has 48 divisors (see below), whose sum is σ = 97475616. Its totient is φ = 10314240.

The previous prime is 34038047. The next prime is 34038079. The reversal of 34038048 is 84083043.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34038041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15061 + ... + 17172.

It is an arithmetic number, because the mean of its divisors is an integer number (2030742).

Almost surely, 234038048 is an apocalyptic number.

It is an amenable number.

34038048 is an abundant number, since it is smaller than the sum of its proper divisors (63437568).

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

34038048 is a wasteful number, since it uses less digits than its factorization.

34038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32257 (or 32249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34038048 is about 5834.2135716821. The cubic root of 34038048 is about 324.0819789510.

The spelling of 34038048 in words is "thirty-four million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 32233 64466 96699 128932 193398 257864 354563 386796 515728 709126 773592 1031456 1063689 1418252 1547184 2127378 2836504 3094368 4254756 5673008 8509512 11346016 17019024 34038048