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3332832 = 253149233
BaseRepresentation
bin1100101101101011100000
320021022210020
430231223200
51323122312
6155233440
740220466
oct14555340
96238706
103332832
111977008
121148880
138c8cb9
1462a836
1545c78c
hex32dae0

3332832 has 48 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 1098752.

The previous prime is 3332831. The next prime is 3332843. The reversal of 3332832 is 2382333.

3332832 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 (48).

It is a super-2 number, since 2×33328322 = 22215538280448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 33 + 36 + 311 + 211 + 87 + 312 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332831) 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, 14188 + ... + 14420.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 23332832 is an apocalyptic number.

3332832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

3332832 is an abundant number, since it is smaller than the sum of its proper divisors (5512368).

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

3332832 is a wasteful number, since it uses less digits than its factorization.

3332832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3332832 is about 1825.6045574001. The cubic root of 3332832 is about 149.3726689178.

The spelling of 3332832 in words is "three million, three hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 233 298 447 466 596 699 894 932 1192 1398 1788 1864 2384 2796 3576 3728 4768 5592 7152 7456 11184 14304 22368 34717 69434 104151 138868 208302 277736 416604 555472 833208 1110944 1666416 3332832