Search a number
-
+
3452328 = 2333111453
BaseRepresentation
bin1101001010110110101000
320111101201000
431022312220
51340433303
6201555000
741226045
oct15126650
96441630
103452328
111a48870
1211a5a60
1393b4c9
1465c1cc
15482da3
hex34ada8

3452328 has 64 divisors (see below), whose sum is σ = 10468800. Its totient is φ = 1045440.

The previous prime is 3452297. The next prime is 3452329. The reversal of 3452328 is 8232543.

3452328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3452329) 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 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 3102.

It is an arithmetic number, because the mean of its divisors is an integer number (163575).

Almost surely, 23452328 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 3452328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234400).

3452328 is an abundant number, since it is smaller than the sum of its proper divisors (7016472).

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

3452328 is a wasteful number, since it uses less digits than its factorization.

3452328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3452328 is about 1858.0441329527. The cubic root of 3452328 is about 151.1369603671.

The spelling of 3452328 in words is "three million, four hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1453 2376 2906 4359 5812 8718 11624 13077 15983 17436 26154 31966 34872 39231 47949 52308 63932 78462 95898 104616 127864 143847 156924 191796 287694 313848 383592 431541 575388 863082 1150776 1726164 3452328