Search a number
-
+
84011340 = 22357317631
BaseRepresentation
bin1010000000111…
…10100101001100
312212002012220010
411000132211030
5133001330330
612200353220
72040041010
oct500364514
9185065803
1084011340
1143470a66
1224175810
131453616a
14b22c540
1575973b0
hex501e94c

84011340 has 96 divisors (see below), whose sum is σ = 270111744. Its totient is φ = 19111680.

The previous prime is 84011321. The next prime is 84011351. The reversal of 84011340 is 4311048.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132825 + ... + 133455.

It is an arithmetic number, because the mean of its divisors is an integer number (2813664).

Almost surely, 284011340 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 84011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135055872).

84011340 is an abundant number, since it is smaller than the sum of its proper divisors (186100404).

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

84011340 is a wasteful number, since it uses less digits than its factorization.

84011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 84011340 is about 9165.7700167525. The cubic root of 84011340 is about 437.9716209381.

Adding to 84011340 its reverse (4311048), we get a palindrome (88322388).

The spelling of 84011340 in words is "eighty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 317 420 631 634 951 1262 1268 1585 1893 1902 2219 2524 3155 3170 3786 3804 4417 4438 4755 6310 6340 6657 7572 8834 8876 9465 9510 11095 12620 13251 13314 17668 18930 19020 22085 22190 26502 26628 33285 37860 44170 44380 53004 66255 66570 88340 132510 133140 200027 265020 400054 600081 800108 1000135 1200162 1400189 2000270 2400324 2800378 3000405 4000540 4200567 5600756 6000810 7000945 8401134 12001620 14001890 16802268 21002835 28003780 42005670 84011340