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290630912 = 28111317467
BaseRepresentation
bin10001010100101…
…010110100000000
3202020212120122212
4101110222310000
51043400142122
644501121252
710126215305
oct2124526400
9666776585
10290630912
1113a065340
12813b9228
134829a470
142a8550ac
151a7acce2
hex1152ad00

290630912 has 144 divisors (see below), whose sum is σ = 723183552. Its totient is φ = 114524160.

The previous prime is 290630887. The next prime is 290630927. The reversal of 290630912 is 219036092.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 622103 + ... + 622569.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108).

Almost surely, 2290630912 is an apocalyptic number.

290630912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361591776).

290630912 is an abundant number, since it is smaller than the sum of its proper divisors (432552640).

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

290630912 is a wasteful number, since it uses less digits than its factorization.

290630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 290630912 is about 17047.9005158993. The cubic root of 290630912 is about 662.3902555608.

The spelling of 290630912 in words is "two hundred ninety million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 256 272 286 352 374 416 442 467 544 572 704 748 832 884 934 1088 1144 1408 1496 1664 1768 1868 2176 2288 2431 2816 2992 3328 3536 3736 4352 4576 4862 5137 5984 6071 7072 7472 7939 9152 9724 10274 11968 12142 14144 14944 15878 18304 19448 20548 23936 24284 28288 29888 31756 36608 38896 41096 47872 48568 56576 59776 63512 66781 77792 82192 87329 97136 103207 119552 127024 133562 155584 164384 174658 194272 206414 254048 267124 311168 328768 349316 388544 412828 508096 534248 622336 657536 698632 777088 825656 1016192 1068496 1135277 1315072 1397264 1554176 1651312 2032384 2136992 2270554 2794528 3302624 4273984 4541108 5589056 6605248 8547968 9082216 11178112 13210496 17095936 18164432 22356224 26420992 36328864 72657728 145315456 290630912