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388107936 = 2536127131
BaseRepresentation
bin10111001000100…
…000111010100000
31000001021221000000
4113020200322200
51243323423221
6102302300000
712421602006
oct2710407240
91001257000
10388107936
1118a093267
12a9b87600
1362539788
143978aa76
1524114e26
hex17220ea0

388107936 has 168 divisors, whose sum is σ = 1163441664. Its totient is φ = 127370880.

The previous prime is 388107913. The next prime is 388107947. The reversal of 388107936 is 639701883.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 388107891 and 388107900.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 2962591 + ... + 2962721.

It is an arithmetic number, because the mean of its divisors is an integer number (6925248).

Almost surely, 2388107936 is an apocalyptic number.

388107936 is a gapful number since it is divisible by the number (36) 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 388107936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581720832).

388107936 is an abundant number, since it is smaller than the sum of its proper divisors (775333728).

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

388107936 is a wasteful number, since it uses less digits than its factorization.

388107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 388107936 is about 19700.4552231668. The cubic root of 388107936 is about 729.4309294877.

The spelling of 388107936 in words is "three hundred eighty-eight million, one hundred seven thousand, nine hundred thirty-six".