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2340342444 = 22311139229557
BaseRepresentation
bin1000101101111110…
…1100101010101100
320001002202201021210
42023133230222230
514243111424234
61024121354420
7111665403546
oct21337545254
96032681253
102340342444
11aa1075a10
12553938a10
132b3b2b81b
14182b70696
15da6debe9
hex8b7ecaac

2340342444 has 96 divisors (see below), whose sum is σ = 6037113600. Its totient is φ = 699759360.

The previous prime is 2340342419. The next prime is 2340342449. The reversal of 2340342444 is 4442430432.

It is not an unprimeable number, because it can be changed into a prime (2340342449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4201414 + ... + 4201970.

It is an arithmetic number, because the mean of its divisors is an integer number (62886600).

Almost surely, 22340342444 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 2340342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018556800).

2340342444 is an abundant number, since it is smaller than the sum of its proper divisors (3696771156).

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

2340342444 is a wasteful number, since it uses less digits than its factorization.

2340342444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 2340342444 is about 48377.0859395231. The cubic root of 2340342444 is about 1327.6791537216.

Adding to 2340342444 its reverse (4442430432), we get a palindrome (6782772876).

The spelling of 2340342444 in words is "two billion, three hundred forty million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 229 278 417 458 556 557 687 834 916 1114 1374 1529 1668 1671 2228 2519 2748 3058 3342 4587 5038 6116 6127 6684 7557 9174 10076 12254 15114 18348 18381 24508 30228 31831 36762 63662 73524 77423 95493 127324 127553 154846 190986 232269 255106 309692 350141 381972 382659 464538 510212 700282 765318 851653 929076 1050423 1400564 1403083 1530636 1703306 2100846 2554959 2806166 3406612 4201692 4209249 5109918 5612332 8418498 10219836 16836996 17729867 35459734 53189601 70919468 106379202 195028537 212758404 390057074 585085611 780114148 1170171222 2340342444