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1314298296 = 2332414311033
BaseRepresentation
bin100111001010110…
…1001100110111000
310101121002021022200
41032111221212320
510142430021141
6334225550200
744366231313
oct11625514670
93347067280
101314298296
11614983843
123081a5360
1317c3a30cc
14c67a397a
157a5b6ab6
hex4e5699b8

1314298296 has 96 divisors (see below), whose sum is σ = 3658374720. Its totient is φ = 426009600.

The previous prime is 1314298291. The next prime is 1314298301. The reversal of 1314298296 is 6928924131.

1314298296 is a `hidden beast` number, since 131 + 429 + 8 + 2 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1314298291) and next prime (1314298301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314298291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271796 + ... + 1272828.

It is an arithmetic number, because the mean of its divisors is an integer number (38108070).

Almost surely, 21314298296 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 1314298296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829187360).

1314298296 is an abundant number, since it is smaller than the sum of its proper divisors (2344076424).

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

1314298296 is a wasteful number, since it uses less digits than its factorization.

1314298296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1510 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1314298296 is about 36253.2522127326. The cubic root of 1314298296 is about 1095.3795994220.

The spelling of 1314298296 in words is "one billion, three hundred fourteen million, two hundred ninety-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 431 492 738 862 984 1033 1293 1476 1724 2066 2586 2952 3099 3448 3879 4132 5172 6198 7758 8264 9297 10344 12396 15516 17671 18594 24792 31032 35342 37188 42353 53013 70684 74376 84706 106026 127059 141368 159039 169412 212052 254118 318078 338824 381177 424104 445223 508236 636156 762354 890446 1016472 1272312 1335669 1524708 1780892 2671338 3049416 3561784 4007007 5342676 8014014 10685352 16028028 18254143 32056056 36508286 54762429 73016572 109524858 146033144 164287287 219049716 328574574 438099432 657149148 1314298296