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387784404 = 2232729471129
BaseRepresentation
bin10111000111010…
…001111011010100
31000000200111012100
4113013101323110
51243233100104
6102251322100
712416053530
oct2707217324
91000614170
10387784404
11189992187
12a9a50330
1362455437
1439704bc0
152409e139
hex171d1ed4

387784404 has 144 divisors (see below), whose sum is σ = 1184601600. Its totient is φ = 104606208.

The previous prime is 387784387. The next prime is 387784417. The reversal of 387784404 is 404487783.

It is a self number, because there is not a number n which added to its sum of digits gives 387784404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342912 + ... + 344040.

It is an arithmetic number, because the mean of its divisors is an integer number (8226400).

Almost surely, 2387784404 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 387784404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592300800).

387784404 is an abundant number, since it is smaller than the sum of its proper divisors (796817196).

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

387784404 is a wasteful number, since it uses less digits than its factorization.

387784404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 387784404 is about 19692.2422288575. The cubic root of 387784404 is about 729.2281853264.

The spelling of 387784404 in words is "three hundred eighty-seven million, seven hundred eighty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 47 58 63 84 87 94 116 126 141 174 188 203 252 261 282 329 348 406 423 522 564 609 658 812 846 987 1044 1129 1218 1316 1363 1692 1827 1974 2258 2436 2726 2961 3387 3654 3948 4089 4516 5452 5922 6774 7308 7903 8178 9541 10161 11844 12267 13548 15806 16356 19082 20322 23709 24534 28623 31612 32741 38164 40644 47418 49068 53063 57246 65482 71127 85869 94836 98223 106126 114492 130964 142254 159189 171738 196446 212252 229187 284508 294669 318378 343476 371441 392892 458374 477567 589338 636756 687561 742882 916748 955134 1114323 1178676 1375122 1485764 1538827 1910268 2062683 2228646 2750244 3077654 3342969 4125366 4457292 4616481 6155308 6685938 8250732 9232962 10771789 13371876 13849443 18465924 21543578 27698886 32315367 43087156 55397772 64630734 96946101 129261468 193892202 387784404