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314055807 = 3131719107233
BaseRepresentation
bin10010101110000…
…001110001111111
3210212221200120120
4102232001301333
51120344241212
651055150023
710532300412
oct2256016177
9725850516
10314055807
1115130485a
1289215313
13500ac750
142d9d1b79
151c88888c
hex12b81c7f

314055807 has 64 divisors (see below), whose sum is σ = 509483520. Its totient is φ = 169979904.

The previous prime is 314055803. The next prime is 314055809. The reversal of 314055807 is 708550413.

It is not a de Polignac number, because 314055807 - 22 = 314055803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314055803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347763 + ... + 1347995.

It is an arithmetic number, because the mean of its divisors is an integer number (7960680).

Almost surely, 2314055807 is an apocalyptic number.

314055807 is a deficient number, since it is larger than the sum of its proper divisors (195427713).

314055807 is a wasteful number, since it uses less digits than its factorization.

314055807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 314055807 is about 17721.6197623129. The cubic root of 314055807 is about 679.7287030506.

The spelling of 314055807 in words is "three hundred fourteen million, fifty-five thousand, eight hundred seven".

Divisors: 1 3 13 17 19 39 51 57 107 221 233 247 321 323 663 699 741 969 1391 1819 2033 3029 3961 4173 4199 4427 5457 6099 9087 11883 12597 13281 23647 24931 26429 34561 51493 57551 70941 74793 75259 79287 103683 154479 172653 225777 324103 423827 449293 473689 972309 978367 1271481 1347879 1421067 2935101 5509751 6157957 8052713 16529253 18473871 24158139 104685269 314055807