Search a number
-
+
276334000 = 2453314457
BaseRepresentation
bin10000011110001…
…000010110110000
3201020222012222121
4100132020112300
51031220142000
643230444024
76563541325
oct2036102660
9636865877
10276334000
11131a8a908
1278663614
1345332b57
14289b2b4c
15193d6b1a
hex107885b0

276334000 has 80 divisors (see below), whose sum is σ = 689884416. Its totient is φ = 106944000.

The previous prime is 276333991. The next prime is 276334001. The reversal of 276334000 is 433672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (276334001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59772 + ... + 64228.

Almost surely, 2276334000 is an apocalyptic number.

276334000 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 276334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344942208).

276334000 is an abundant number, since it is smaller than the sum of its proper divisors (413550416).

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

276334000 is a wasteful number, since it uses less digits than its factorization.

276334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 276334000 is about 16623.2969052472. The cubic root of 276334000 is about 651.3455362145.

Adding to 276334000 its reverse (433672), we get a palindrome (276767672).

It can be divided in two parts, 2763 and 34000, that added together give a palindrome (36763).

The spelling of 276334000 in words is "two hundred seventy-six million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 4457 6200 7750 8914 12400 15500 17828 22285 31000 35656 44570 62000 71312 89140 111425 138167 178280 222850 276334 356560 445700 552668 557125 690835 891400 1105336 1114250 1381670 1782800 2210672 2228500 2763340 3454175 4457000 5526680 6908350 8914000 11053360 13816700 17270875 27633400 34541750 55266800 69083500 138167000 276334000