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388034304 = 283789811
BaseRepresentation
bin10111001000001…
…110111100000000
31000001011011222220
4113020032330000
51243314044204
6102300531040
712421144230
oct2710167400
91001134886
10388034304
1118a042a09
12a9b50a80
13625120c8
143976bcc0
15240ed1d9
hex1720ef00

388034304 has 144 divisors (see below), whose sum is σ = 1195004160. Its totient is φ = 109486080.

The previous prime is 388034287. The next prime is 388034351. The reversal of 388034304 is 403430883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478059 + ... + 478869.

It is an arithmetic number, because the mean of its divisors is an integer number (8298640).

Almost surely, 2388034304 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 388034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597502080).

388034304 is an abundant number, since it is smaller than the sum of its proper divisors (806969856).

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

388034304 is an equidigital number, since it uses as much as digits as its factorization.

388034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 388034304 is about 19698.5863452178. The cubic root of 388034304 is about 729.3847972564.

The spelling of 388034304 in words is "three hundred eighty-eight million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 256 267 336 356 384 448 534 623 672 712 768 811 896 1068 1246 1344 1424 1622 1792 1869 2136 2433 2492 2688 2848 3244 3738 4272 4866 4984 5376 5677 5696 6488 7476 8544 9732 9968 11354 11392 12976 14952 17031 17088 19464 19936 22708 22784 25952 29904 34062 34176 38928 39872 45416 51904 59808 68124 68352 72179 77856 79744 90832 103808 119616 136248 144358 155712 159488 181664 207616 216537 239232 272496 288716 311424 363328 433074 478464 505253 544992 577432 622848 726656 866148 1010506 1089984 1154864 1453312 1515759 1732296 2021012 2179968 2309728 3031518 3464592 4042024 4359936 4619456 6063036 6929184 8084048 9238912 12126072 13858368 16168096 18477824 24252144 27716736 32336192 48504288 55433472 64672384 97008576 129344768 194017152 388034304