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284130912 = 25313283211
BaseRepresentation
bin10000111011110…
…111111001100000
3201210122100100010
4100323313321200
51040214142122
644105524520
710020034002
oct2073677140
9653570303
10284130912
1113642583a
127b1a3740
1346b32a00
1429a42372
1519e26e0c
hex10ef7e60

284130912 has 144 divisors (see below), whose sum is σ = 821233728. Its totient is φ = 85962240.

The previous prime is 284130871. The next prime is 284130919. The reversal of 284130912 is 219031482.

It is a self number, because there is not a number n which added to its sum of digits gives 284130912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284130919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346487 + ... + 1346697.

It is an arithmetic number, because the mean of its divisors is an integer number (5703012).

Almost surely, 2284130912 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 284130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410616864).

284130912 is an abundant number, since it is smaller than the sum of its proper divisors (537102816).

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

284130912 is a wasteful number, since it uses less digits than its factorization.

284130912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 284130912 is about 16856.1831978654. The cubic root of 284130912 is about 657.4148275992.

The spelling of 284130912 in words is "two hundred eighty-four million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 169 208 211 249 312 332 338 416 422 498 507 624 633 664 676 844 996 1014 1079 1248 1266 1328 1352 1688 1992 2028 2158 2532 2656 2704 2743 3237 3376 3984 4056 4316 5064 5408 5486 6474 6752 7968 8112 8229 8632 10128 10972 12948 14027 16224 16458 17264 17513 20256 21944 25896 28054 32916 34528 35026 35659 42081 43888 51792 52539 56108 65832 70052 71318 84162 87776 103584 105078 106977 112216 131664 140104 142636 168324 210156 213954 224432 227669 263328 280208 285272 336648 420312 427908 448864 455338 560416 570544 673296 683007 840624 855816 910676 1141088 1346592 1366014 1681248 1711632 1821352 2732028 2959697 3423264 3642704 5464056 5919394 7285408 8879091 10928112 11838788 17758182 21856224 23677576 35516364 47355152 71032728 94710304 142065456 284130912