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3445042608 = 243273193671
BaseRepresentation
bin1100110101010111…
…0010110110110000
322220002110022000200
43031111302312300
524023412330413
61325503115200
7151241244000
oct31525626660
98802408020
103445042608
111508700557
128018a2b00
1342b966967
14249774000
151526a3573
hexcd572db0

3445042608 has 240 divisors, whose sum is σ = 11838528000. Its totient is φ = 932238720.

The previous prime is 3445042553. The next prime is 3445042609. The reversal of 3445042608 is 8062405443.

3445042608 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 0 + 42 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445042609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936613 + ... + 940283.

It is an arithmetic number, because the mean of its divisors is an integer number (49327200).

Almost surely, 23445042608 is an apocalyptic number.

3445042608 is a gapful number since it is divisible by the number (38) 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 3445042608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919264000).

3445042608 is an abundant number, since it is smaller than the sum of its proper divisors (8393485392).

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

3445042608 is a wasteful number, since it uses less digits than its factorization.

3445042608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3445042608 is about 58694.4853286917. The cubic root of 3445042608 is about 1510.3057153325.

The spelling of 3445042608 in words is "three billion, four hundred forty-five million, forty-two thousand, six hundred eight".