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388031472 = 2434714217
BaseRepresentation
bin10111001000001…
…110001111110000
31000001011001010000
4113020032033300
51243314001342
6102300510000
712421133043
oct2710161760
91001131100
10388031472
1118a040874
12a9b4b300
1362510a2a
143976ac5a
15240ec44c
hex1720e3f0

388031472 has 100 divisors (see below), whose sum is σ = 1139163696. Its totient is φ = 127491840.

The previous prime is 388031467. The next prime is 388031473. The reversal of 388031472 is 274130883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388031473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89908 + ... + 94124.

Almost surely, 2388031472 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 388031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569581848).

388031472 is an abundant number, since it is smaller than the sum of its proper divisors (751132224).

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

388031472 is a wasteful number, since it uses less digits than its factorization.

388031472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 388031472 is about 19698.5144617557. The cubic root of 388031472 is about 729.3830228233.

The spelling of 388031472 in words is "three hundred eighty-eight million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 4217 5112 5751 7668 8434 10224 11502 12651 15336 16868 23004 25302 30672 33736 37953 46008 50604 67472 75906 92016 101208 113859 151812 202416 227718 299407 303624 341577 455436 598814 607248 683154 898221 910872 1197628 1366308 1796442 1821744 2395256 2694663 2732616 3592884 4790512 5389326 5465232 7185768 8083989 10778652 14371536 16167978 21557304 24251967 32335956 43114608 48503934 64671912 97007868 129343824 194015736 388031472