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3945328 = 242371151
BaseRepresentation
bin1111000011001101110000
321102102222021
433003031300
52002222303
6220321224
745351262
oct17031560
97372867
103945328
112255202
1213a3214
13a81a1a
14749b32
1552debd
hex3c3370

3945328 has 40 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 1848000.

The previous prime is 3945323. The next prime is 3945329. The reversal of 3945328 is 8235493.

It is a happy number.

3945328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39453282 = 31131226055168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3945293 and 3945302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945323) 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 7 ways as a sum of consecutive naturals, for example, 26053 + ... + 26203.

Almost surely, 23945328 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 3945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

3945328 is an abundant number, since it is smaller than the sum of its proper divisors (4197008).

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

3945328 is a wasteful number, since it uses less digits than its factorization.

3945328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 3945328 is about 1986.2849745190. The cubic root of 3945328 is about 158.0135650373.

The spelling of 3945328 in words is "three million, nine hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 71 92 142 151 184 284 302 368 568 604 1136 1208 1633 2416 3266 3473 6532 6946 10721 13064 13892 21442 26128 27784 42884 55568 85768 171536 246583 493166 986332 1972664 3945328