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3903778368 = 26337734421
BaseRepresentation
bin1110100010101110…
…1110111001000000
3101002001122111012000
43220223232321000
530443331401433
61443211304000
7165511366020
oct35053567100
911061574160
103903778368
111723643516
1290b44b000
134a2a01939
14290667a80
1517caba113
hexe8aeee40

3903778368 has 224 divisors, whose sum is σ = 13298545920. Its totient is φ = 1099837440.

The previous prime is 3903778367. The next prime is 3903778369. The reversal of 3903778368 is 8638773093.

3903778368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3903778367) and next prime (3903778369).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3903778367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880798 + ... + 885218.

Almost surely, 23903778368 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 3903778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649272960).

3903778368 is an abundant number, since it is smaller than the sum of its proper divisors (9394767552).

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

3903778368 is a wasteful number, since it uses less digits than its factorization.

3903778368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3903778368 is about 62480.2238152201. The cubic root of 3903778368 is about 1574.5690757595.

The spelling of 3903778368 in words is "three billion, nine hundred three million, seven hundred seventy-eight thousand, three hundred sixty-eight".