Search a number
-
+
3465088 = 271123107
BaseRepresentation
bin1101001101111110000000
320112001012121
431031332000
51341340323
6202134024
741311204
oct15157600
96461177
103465088
111a57410
1211b1314
13944263
14662b04
15486a5d
hex34df80

3465088 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 1492480.

The previous prime is 3465079. The next prime is 3465089. The reversal of 3465088 is 8805643.

3465088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465089) 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 7 ways as a sum of consecutive naturals, for example, 32331 + ... + 32437.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 23465088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

3465088 is an abundant number, since it is smaller than the sum of its proper divisors (4466432).

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

3465088 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3465087) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (143).

3465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3465088 is about 1861.4746842222. The cubic root of 3465088 is about 151.3229350218.

The spelling of 3465088 in words is "three million, four hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 107 128 176 184 214 253 352 368 428 506 704 736 856 1012 1177 1408 1472 1712 2024 2354 2461 2944 3424 4048 4708 4922 6848 8096 9416 9844 13696 16192 18832 19688 27071 32384 37664 39376 54142 75328 78752 108284 150656 157504 216568 315008 433136 866272 1732544 3465088