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284446980 = 2232523127541
BaseRepresentation
bin10000111101000…
…101000100000100
3201211020101220100
4100331011010010
51040304300410
644120404100
710022521326
oct2075050404
9654211810
10284446980
11136621254
127b316630
1346c1382c
1429ac5616
1519e8a8c0
hex10f45104

284446980 has 144 divisors (see below), whose sum is σ = 909103104. Its totient is φ = 71850240.

The previous prime is 284446969. The next prime is 284446997. The reversal of 284446980 is 89644482.

It is a super-2 number, since 2×2844469802 = 161820168862240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 525510 + ... + 526050.

It is an arithmetic number, because the mean of its divisors is an integer number (6313216).

Almost surely, 2284446980 is an apocalyptic number.

284446980 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 284446980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454551552).

284446980 is an abundant number, since it is smaller than the sum of its proper divisors (624656124).

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

284446980 is a wasteful number, since it uses less digits than its factorization.

284446980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 284446980 is about 16865.5560240391. The cubic root of 284446980 is about 657.6585072795.

The spelling of 284446980 in words is "two hundred eighty-four million, four hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 127 138 180 207 230 254 276 345 381 414 460 508 541 635 690 762 828 1035 1082 1143 1270 1380 1524 1623 1905 2070 2164 2286 2540 2705 2921 3246 3810 4140 4572 4869 5410 5715 5842 6492 7620 8115 8763 9738 10820 11430 11684 12443 14605 16230 17526 19476 22860 24345 24886 26289 29210 32460 35052 37329 43815 48690 49772 52578 58420 62215 68707 74658 87630 97380 105156 111987 124430 131445 137414 149316 175260 186645 206121 223974 248860 262890 274828 343535 373290 412242 447948 525780 559935 618363 687070 746580 824484 1030605 1119870 1236726 1374140 1580261 2061210 2239740 2473452 3091815 3160522 4122420 4740783 6183630 6321044 7901305 9481566 12367260 14222349 15802610 18963132 23703915 28444698 31605220 47407830 56889396 71111745 94815660 142223490 284446980