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2965284 = 223272412
BaseRepresentation
bin1011010011111100100100
312120122121100
423103330210
51224342114
6143320100
734130100
oct13237444
95518540
102965284
111745953
12bb0030
137ca90a
14572900
153d8909
hex2d3f24

2965284 has 81 divisors (see below), whose sum is σ = 8937201. Its totient is φ = 826560.

The previous prime is 2965253. The next prime is 2965289. The reversal of 2965284 is 4825692.

It is a happy number.

The square root of 2965284 is 1722.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 2822400 = 378^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2965289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72304 + ... + 72344.

22965284 is an apocalyptic number.

2965284 is the 1722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965284

2965284 is an abundant number, since it is smaller than the sum of its proper divisors (5971917).

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

2965284 is a wasteful number, since it uses less digits than its factorization.

2965284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 2965284 is about 143.6664734671. Note that the first 3 decimals are identical.

Multiplying 2965284 by its sum of digits (36), we get a square (106750224 = 103322).

2965284 divided by its sum of digits (36) gives a square (82369 = 2872).

It can be divided in two parts, 2965 and 284, that added together give a square (3249 = 572).

The spelling of 2965284 in words is "two million, nine hundred sixty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1476 1681 1722 1764 2009 2583 3362 3444 4018 5043 5166 6027 6724 8036 10086 10332 11767 12054 15129 18081 20172 23534 24108 30258 35301 36162 47068 60516 70602 72324 82369 105903 141204 164738 211806 247107 329476 423612 494214 741321 988428 1482642 2965284