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388005376 = 291126263
BaseRepresentation
bin10111001000000…
…111111000000000
31000001002201022111
4113020013320000
51243312133001
6102300145104
712420664003
oct2710077000
91001081274
10388005376
1118a023200
12a9b38194
1362501ba5
143976153a
15240e4851
hex17207e00

388005376 has 60 divisors (see below), whose sum is σ = 852273576. Its totient is φ = 176337920.

The previous prime is 388005367. The next prime is 388005451. The reversal of 388005376 is 673500883.

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 5 ways as a sum of consecutive naturals, for example, 58821 + ... + 65083.

Almost surely, 2388005376 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 388005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426136788).

388005376 is an abundant number, since it is smaller than the sum of its proper divisors (464268200).

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

388005376 is an equidigital number, since it uses as much as digits as its factorization.

388005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 388005376 is about 19697.8520656441. The cubic root of 388005376 is about 729.3666715671.

The spelling of 388005376 in words is "three hundred eighty-eight million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2816 3872 5632 6263 7744 12526 15488 25052 30976 50104 61952 68893 100208 137786 200416 275572 400832 551144 757823 801664 1102288 1515646 1603328 2204576 3031292 3206656 4409152 6062584 8818304 12125168 17636608 24250336 35273216 48500672 97001344 194002688 388005376