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3329424 = 24347367
BaseRepresentation
bin1100101100110110010000
320021011010000
430230312100
51323020144
6155210000
740204530
oct14546620
96234100
103329424
11197449a
121146900
138c7597
146294c0
1545b769
hex32cd90

3329424 has 100 divisors (see below), whose sum is σ = 11042944. Its totient is φ = 948672.

The previous prime is 3329423. The next prime is 3329437. The reversal of 3329424 is 4249233.

It is a happy number.

3329424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33294242 = 22170128343552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (3329423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8889 + ... + 9255.

Almost surely, 23329424 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 3329424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521472).

3329424 is an abundant number, since it is smaller than the sum of its proper divisors (7713520).

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

3329424 is a wasteful number, since it uses less digits than its factorization.

3329424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3329424 is about 1824.6709292363. The cubic root of 3329424 is about 149.3217376909.

The spelling of 3329424 in words is "three million, three hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 367 378 432 504 567 648 734 756 1008 1101 1134 1296 1468 1512 2202 2268 2569 2936 3024 3303 4404 4536 5138 5872 6606 7707 8808 9072 9909 10276 13212 15414 17616 19818 20552 23121 26424 29727 30828 39636 41104 46242 52848 59454 61656 69363 79272 92484 118908 123312 138726 158544 184968 208089 237816 277452 369936 416178 475632 554904 832356 1109808 1664712 3329424