Search a number
-
+
3205146 = 23717672
BaseRepresentation
bin1100001110100000011010
320000211122010
430032200122
51310031041
6152410350
736146310
oct14164032
96024563
103205146
11189a08a
1210a69b6
13882b49
145d60b0
15434a16
hex30e81a

3205146 has 48 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 849024.

The previous prime is 3205141. The next prime is 3205217. The reversal of 3205146 is 6415023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3205141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47805 + ... + 47871.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 23205146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

3205146 is an abundant number, since it is smaller than the sum of its proper divisors (4669350).

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

3205146 is a wasteful number, since it uses less digits than its factorization.

3205146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3205146 is about 1790.2921549289. The cubic root of 3205146 is about 147.4402094159.

The spelling of 3205146 in words is "three million, two hundred five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 67 102 119 134 201 238 357 402 469 714 938 1139 1407 2278 2814 3417 4489 6834 7973 8978 13467 15946 23919 26934 31423 47838 62846 76313 94269 152626 188538 228939 457878 534191 1068382 1602573 3205146