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3945456 = 24339133
BaseRepresentation
bin1111000011001111110000
321102110011000
433003033300
52002223311
6220322000
745351534
oct17031760
97373130
103945456
112255309
1213a3300
13a81ab8
14749bc4
1552e056
hex3c33f0

3945456 has 40 divisors (see below), whose sum is σ = 11326160. Its totient is φ = 1315008.

The previous prime is 3945449. The next prime is 3945457. The reversal of 3945456 is 6545493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3945456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (283154).

Almost surely, 23945456 is an apocalyptic number.

3945456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3945456 is an abundant number, since it is smaller than the sum of its proper divisors (7380704).

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

3945456 is a wasteful number, since it uses less digits than its factorization.

3945456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9138 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3945456 is about 1986.3171952133. The cubic root of 3945456 is about 158.0152738532.

The spelling of 3945456 in words is "three million, nine hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9133 18266 27399 36532 54798 73064 82197 109596 146128 164394 219192 246591 328788 438384 493182 657576 986364 1315152 1972728 3945456