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3424032 = 25341321
BaseRepresentation
bin1101000011111100100000
320102221220000
431003330200
51334032112
6201220000
741050413
oct15037440
96387800
103424032
111a29587
121191600
1392b671
14651b7a
154797dc
hex343f20

3424032 has 60 divisors (see below), whose sum is σ = 10077606. Its totient is φ = 1140480.

The previous prime is 3424019. The next prime is 3424037. The reversal of 3424032 is 2304243.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 1245456 = 1476^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3423996 and 3424014.

It is not an unprimeable number, because it can be changed into a prime (3424037) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1932 + ... + 3252.

Almost surely, 23424032 is an apocalyptic number.

3424032 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 3424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038803).

3424032 is an abundant number, since it is smaller than the sum of its proper divisors (6653574).

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

3424032 is a wasteful number, since it uses less digits than its factorization.

3424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3424032 is about 1850.4140077291. The cubic root of 3424032 is about 150.7229104067.

Adding to 3424032 its reverse (2304243), we get a palindrome (5728275).

The spelling of 3424032 in words is "three million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1321 2592 2642 3963 5284 7926 10568 11889 15852 21136 23778 31704 35667 42272 47556 63408 71334 95112 107001 126816 142668 190224 214002 285336 380448 428004 570672 856008 1141344 1712016 3424032