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284939340 = 223574116547
BaseRepresentation
bin10000111110111…
…101010001001100
3201212011102021220
4100332331101030
51040421024330
644135123340
710026641640
oct2076752114
9655142256
10284939340
11136928164
127b513550
134705697a
1429bb2c20
151a036710
hex10fbd44c

284939340 has 96 divisors (see below), whose sum is σ = 934101504. Its totient is φ = 63536640.

The previous prime is 284939327. The next prime is 284939351. The reversal of 284939340 is 43939482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 284939292 and 284939301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8947 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (9730224).

Almost surely, 2284939340 is an apocalyptic number.

284939340 is a gapful number since it is divisible by the number (20) 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 284939340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467050752).

284939340 is an abundant number, since it is smaller than the sum of its proper divisors (649162164).

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

284939340 is a wasteful number, since it uses less digits than its factorization.

284939340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 284939340 is about 16880.1463263800. The cubic root of 284939340 is about 658.0377438523.

The spelling of 284939340 in words is "two hundred eighty-four million, nine hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 16547 17220 33094 49641 66188 82735 99282 115829 165470 198564 231658 248205 330940 347487 463316 496410 579145 678427 694974 992820 1158290 1356854 1389948 1737435 2035281 2316580 2713708 3392135 3474870 4070562 4748989 6784270 6949740 8141124 9497978 10176405 13568540 14246967 18995956 20352810 23744945 28493934 40705620 47489890 56987868 71234835 94979780 142469670 284939340