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3421152 = 253271697
BaseRepresentation
bin1101000011001111100000
320102210221100
431003033200
51333434102
6201154400
741036130
oct15031740
96383840
103421152
111a273a9
12118ba00
1392a267
14650ac0
15478a1c
hex3433e0

3421152 has 72 divisors (see below), whose sum is σ = 11125296. Its totient is φ = 976896.

The previous prime is 3421151. The next prime is 3421157. The reversal of 3421152 is 2511243.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (154518).

Almost surely, 23421152 is an apocalyptic number.

3421152 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 3421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562648).

3421152 is an abundant number, since it is smaller than the sum of its proper divisors (7704144).

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

3421152 is a wasteful number, since it uses less digits than its factorization.

3421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1709 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3421152 is about 1849.6356397950. The cubic root of 3421152 is about 150.6806401881.

Adding to 3421152 its reverse (2511243), we get a palindrome (5932395).

Subtracting from 3421152 its reverse (2511243), we obtain a palindrome (909909).

The spelling of 3421152 in words is "three million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1697 2016 3394 5091 6788 10182 11879 13576 15273 20364 23758 27152 30546 35637 40728 47516 54304 61092 71274 81456 95032 106911 122184 142548 162912 190064 213822 244368 285096 380128 427644 488736 570192 855288 1140384 1710576 3421152