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3283344 = 24321512
BaseRepresentation
bin1100100001100110010000
320011210220100
430201212100
51320031334
6154212400
736623301
oct14414620
96153810
103283344
111942909
121124100
138ac60c
146167a8
1544cc99
hex321990

3283344 has 45 divisors (see below), whose sum is σ = 9250059. Its totient is φ = 1087200.

The previous prime is 3283339. The next prime is 3283349. The reversal of 3283344 is 4433823.

The square root of 3283344 is 1812.

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

3283344 is a `hidden beast` number, since 328 + 334 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3283339) and next prime (3283349).

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

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3283349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21669 + ... + 21819.

Almost surely, 23283344 is an apocalyptic number.

3283344 is the 1812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283344

3283344 is an abundant number, since it is smaller than the sum of its proper divisors (5966715).

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

3283344 is a wasteful number, since it uses less digits than its factorization.

3283344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The cubic root of 3283344 is about 148.6296524402.

The spelling of 3283344 in words is "three million, two hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 22801 45602 68403 91204 136806 182408 205209 273612 364816 410418 547224 820836 1094448 1641672 3283344