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388889328 = 243109239311
BaseRepresentation
bin10111001011011…
…111101011110000
31000002202121212110
4113023133223300
51244023424303
6102331125320
712431335062
oct2713375360
91002677773
10388889328
1118a577343
12aa2a3840
1362751339
1439911732
152421b703
hex172dfaf0

388889328 has 80 divisors (see below), whose sum is σ = 1021363200. Its totient is φ = 127491840.

The previous prime is 388889317. The next prime is 388889329. The reversal of 388889328 is 823988883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388889329) 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, 1250293 + ... + 1250603.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2388889328 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 388889328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510681600).

388889328 is an abundant number, since it is smaller than the sum of its proper divisors (632473872).

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

388889328 is a wasteful number, since it uses less digits than its factorization.

388889328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The square root of 388889328 is about 19720.2770771610. The cubic root of 388889328 is about 729.9201313758.

The spelling of 388889328 in words is "three hundred eighty-eight million, eight hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 239 311 327 436 478 622 654 717 872 933 956 1244 1308 1434 1744 1866 1912 2488 2616 2868 3732 3824 4976 5232 5736 7464 11472 14928 26051 33899 52102 67798 74329 78153 101697 104204 135596 148658 156306 203394 208408 222987 271192 297316 312612 406788 416816 445974 542384 594632 625224 813576 891948 1189264 1250448 1627152 1783896 3567792 8101861 16203722 24305583 32407444 48611166 64814888 97222332 129629776 194444664 388889328