Search a number
-
+
3006440280 = 233352783741
BaseRepresentation
bin1011001100110010…
…1010001101011000
321202112010222202000
42303030222031120
522124122042110
61214154241000
7134334215004
oct26314521530
97675128660
103006440280
11130306a098
126baa26160
1338bb2aa5c
14207401704
15128e171c0
hexb332a358

3006440280 has 64 divisors (see below), whose sum is σ = 10021471200. Its totient is φ = 801717120.

The previous prime is 3006440273. The next prime is 3006440287. The reversal of 3006440280 is 820446003.

It is an interprime number because it is at equal distance from previous prime (3006440273) and next prime (3006440287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006440287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390791 + ... + 1392950.

Almost surely, 23006440280 is an apocalyptic number.

3006440280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006440280 is an abundant number, since it is smaller than the sum of its proper divisors (7015030920).

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

3006440280 is a wasteful number, since it uses less digits than its factorization.

3006440280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783761 (or 2783751 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3006440280 is about 54831.0156754368. The cubic root of 3006440280 is about 1443.2808872250.

Adding to 3006440280 its reverse (820446003), we get a palindrome (3826886283).

The spelling of 3006440280 in words is "three billion, six million, four hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2783741 5567482 8351223 11134964 13918705 16702446 22269928 25053669 27837410 33404892 41756115 50107338 55674820 66809784 75161007 83512230 100214676 111349640 125268345 150322014 167024460 200429352 250536690 300644028 334048920 375805035 501073380 601288056 751610070 1002146760 1503220140 3006440280