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284274980 = 22511359181
BaseRepresentation
bin10000111100011…
…011000100100100
3201210220122221222
4100330123010210
51040233244410
644112555512
710021204013
oct2074330444
9653818858
10284274980
11136514000
127b252b98
1346b83462
1429a7ca7a
1519e54955
hex10f1b124

284274980 has 96 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 101059200.

The previous prime is 284274971. The next prime is 284274997. The reversal of 284274980 is 89472482.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 1570490 + ... + 1570670.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2284274980 is an apocalyptic number.

284274980 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 284274980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

284274980 is an abundant number, since it is smaller than the sum of its proper divisors (387173980).

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

284274980 is a wasteful number, since it uses less digits than its factorization.

284274980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 284274980 is about 16860.4561029647. The cubic root of 284274980 is about 657.5259224408.

The spelling of 284274980 in words is "two hundred eighty-four million, two hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 121 181 220 236 242 295 362 484 590 605 649 724 905 1180 1210 1298 1331 1810 1991 2420 2596 2662 3245 3620 3982 5324 6490 6655 7139 7964 9955 10679 12980 13310 14278 19910 21358 21901 26620 28556 35695 39820 42716 43802 53395 71390 78529 87604 106790 109505 117469 142780 157058 213580 219010 234938 240911 314116 392645 438020 469876 481822 587345 785290 963644 1174690 1204555 1292159 1570580 2349380 2409110 2584318 4818220 5168636 6460795 12921590 14213749 25843180 28427498 56854996 71068745 142137490 284274980