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34482384 = 2432239461
BaseRepresentation
bin1000001110001…
…0100011010000
32101212212221100
42003202203100
532311414014
63231024400
7566044506
oct203424320
971785840
1034482384
1118512142
12b66b100
1371b42a1
144818676
153062009
hex20e28d0

34482384 has 30 divisors (see below), whose sum is σ = 96503186. Its totient is φ = 11494080.

The previous prime is 34482379. The next prime is 34482389. The reversal of 34482384 is 48328443.

It is an interprime number because it is at equal distance from previous prime (34482379) and next prime (34482389).

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 1166400 = 5772^2 + 1080^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119587 + ... + 119874.

Almost surely, 234482384 is an apocalyptic number.

It is an amenable number.

34482384 is an abundant number, since it is smaller than the sum of its proper divisors (62020802).

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

34482384 is a wasteful number, since it uses less digits than its factorization.

34482384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239475 (or 239466 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34482384 is about 5872.1702972581. The cubic root of 34482384 is about 325.4860860355.

It can be divided in two parts, 3448 and 2384, that added together give a cube (5832 = 183).

The spelling of 34482384 in words is "thirty-four million, four hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239461 478922 718383 957844 1436766 1915688 2155149 2873532 3831376 4310298 5747064 8620596 11494128 17241192 34482384