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2332064 = 25729359
BaseRepresentation
bin1000111001010110100000
311101110222202
420321112200
51044111224
6121552332
725552010
oct10712640
94343882
102332064
111353129
129456a8
13638627
14449c40
15310eae
hex2395a0

2332064 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 962304.

The previous prime is 2332061. The next prime is 2332103. The reversal of 2332064 is 4602332.

2332064 = T17 + T18 + ... + T240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332061) 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, 6317 + ... + 6675.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22332064 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 2332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2332064 is an abundant number, since it is smaller than the sum of its proper divisors (3111136).

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

2332064 is a wasteful number, since it uses less digits than its factorization.

2332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2332064 is about 1527.1096882673. The cubic root of 2332064 is about 132.6111847104.

Adding to 2332064 its reverse (4602332), we get a palindrome (6934396).

It can be divided in two parts, 2 and 332064, that multiplied together give a triangular number (664128 = T1152).

The spelling of 2332064 in words is "two million, three hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 359 406 464 718 812 928 1436 1624 2513 2872 3248 5026 5744 6496 10052 10411 11488 20104 20822 40208 41644 72877 80416 83288 145754 166576 291508 333152 583016 1166032 2332064