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2344342344 = 233235971983
BaseRepresentation
bin1000101110111011…
…1101001101001000
320001101021221010020
42023232331031020
514300122423334
61024343220440
7112044403221
oct21356751510
96041257106
102344342344
11aa3358113
12555147720
132b48cc326
141834d2248
15dac2ee49
hex8bbbd348

2344342344 has 64 divisors (see below), whose sum is σ = 6219417600. Its totient is φ = 734792256.

The previous prime is 2344342337. The next prime is 2344342391. The reversal of 2344342344 is 4432434432.

It is a nude number because it is divisible by every one of its digits.

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, 3424 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (97178400).

Almost surely, 22344342344 is an apocalyptic number.

2344342344 is a gapful number since it is divisible by the number (24) 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 2344342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109708800).

2344342344 is an abundant number, since it is smaller than the sum of its proper divisors (3875075256).

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

2344342344 is a wasteful number, since it uses less digits than its factorization.

2344342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72074 (or 72070 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 2344342344 is about 48418.4091436305. The cubic root of 2344342344 is about 1328.4351059505.

Adding to 2344342344 its reverse (4432434432), we get a palindrome (6776776776).

The spelling of 2344342344 in words is "two billion, three hundred forty-four million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5428 8142 10856 16284 32568 71983 143966 215949 287932 431898 575864 863796 1655609 1727592 3311218 4246997 4966827 6622436 8493994 9933654 12740991 13244872 16987988 19867308 25481982 33975976 39734616 50963964 97680931 101927928 195361862 293042793 390723724 586085586 781447448 1172171172 2344342344