[go: up one dir, main page]

Search a number
-
+
2340144312 = 2331135325111
BaseRepresentation
bin1000101101111011…
…1100010010111000
320001002101122111120
42023132330102320
514243034104222
61024113225240
7111663620112
oct21336742270
96032348446
102340144312
11aa0a50070
12553862220
132b3a8c59c
14182b1c3b2
15da6a115c
hex8b7bc4b8

2340144312 has 64 divisors (see below), whose sum is σ = 6400546560. Its totient is φ = 707097600.

The previous prime is 2340144293. The next prime is 2340144341. The reversal of 2340144312 is 2134410432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80637 + ... + 105747.

It is an arithmetic number, because the mean of its divisors is an integer number (100008540).

Almost surely, 22340144312 is an apocalyptic number.

2340144312 is a gapful number since it is divisible by the number (22) 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 2340144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200273280).

2340144312 is an abundant number, since it is smaller than the sum of its proper divisors (4060402248).

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

2340144312 is a wasteful number, since it uses less digits than its factorization.

2340144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25484 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2340144312 is about 48375.0381085121. The cubic root of 2340144312 is about 1327.6416858216.

Adding to 2340144312 its reverse (2134410432), we get a palindrome (4474554744).

The spelling of 2340144312 in words is "two billion, three hundred forty million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 353 706 1059 1412 2118 2824 3883 4236 7766 8472 11649 15532 23298 25111 31064 46596 50222 75333 93192 100444 150666 200888 276221 301332 552442 602664 828663 1104884 1657326 2209768 3314652 6629304 8864183 17728366 26592549 35456732 53185098 70913464 97506013 106370196 195012026 212740392 292518039 390024052 585036078 780048104 1170072156 2340144312