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1344116676 = 223753301913
BaseRepresentation
bin101000000011101…
…1001011111000100
310110200012012110010
41100013121133010
510223043213201
6341213030220
745210542340
oct12007313704
93420165403
101344116676
1162a79a831
12316185370
13185613516
14ca726620
157d006bd6
hex501d97c4

1344116676 has 48 divisors (see below), whose sum is σ = 3651951744. Its totient is φ = 376786176.

The previous prime is 1344116671. The next prime is 1344116689. The reversal of 1344116676 is 6766114431.

It is a super-3 number, since 3×13441166763 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1344116671) 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, 146505 + ... + 155408.

It is an arithmetic number, because the mean of its divisors is an integer number (76082328).

Almost surely, 21344116676 is an apocalyptic number.

It is an amenable number.

1344116676 is an abundant number, since it is smaller than the sum of its proper divisors (2307835068).

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

1344116676 is a wasteful number, since it uses less digits than its factorization.

1344116676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301980 (or 301978 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1344116676 is about 36662.1968245221. The cubic root of 1344116676 is about 1103.6016041757.

The spelling of 1344116676 in words is "one billion, three hundred forty-four million, one hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 301913 603826 905739 1207652 1811478 2113391 3622956 4226782 6340173 8453564 12680346 16001389 25360692 32002778 48004167 64005556 96008334 112009723 192016668 224019446 336029169 448038892 672058338 1344116676