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388630816 = 25723241313
BaseRepresentation
bin10111001010100…
…000100100100000
31000002021111020221
4113022200210200
51243442141231
6102321412424
712426210310
oct2712404440
91002244227
10388630816
1118a4100a2
12aa19a114
1362690782
1439885440
15241b9d11
hex172a0920

388630816 has 96 divisors (see below), whose sum is σ = 919150848. Its totient is φ = 158146560.

The previous prime is 388630813. The next prime is 388630859. The reversal of 388630816 is 618036883.

It is a super-2 number, since 2×3886308162 = 302067822289651712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (388630813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241476 + ... + 1241788.

It is an arithmetic number, because the mean of its divisors is an integer number (9574488).

Almost surely, 2388630816 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 388630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459575424).

388630816 is an abundant number, since it is smaller than the sum of its proper divisors (530520032).

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

388630816 is a wasteful number, since it uses less digits than its factorization.

388630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 388630816 is about 19713.7215157362. The cubic root of 388630816 is about 729.7583587533.

The spelling of 388630816 in words is "three hundred eighty-eight million, six hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 241 313 322 368 482 626 644 736 964 1252 1288 1687 1928 2191 2504 2576 3374 3856 4382 5008 5152 5543 6748 7199 7712 8764 10016 11086 13496 14398 17528 22172 26992 28796 35056 38801 44344 50393 53984 57592 70112 75433 77602 88688 100786 115184 150866 155204 177376 201572 230368 301732 310408 403144 528031 603464 620816 806288 1056062 1206928 1241632 1612576 1734959 2112124 2413856 3469918 4224248 6939836 8448496 12144713 13879672 16896992 24289426 27759344 48578852 55518688 97157704 194315408 388630816