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314456077 = 13292413461
BaseRepresentation
bin10010101111100…
…011100000001101
3210220201000122101
4102233203200031
51121000043302
651111515101
710535555365
oct2257434015
9726630571
10314456077
11151558561
1289388a91
13501bc9b0
142da979a5
151c917287
hex12be380d

314456077 has 16 divisors (see below), whose sum is σ = 351877680. Its totient is φ = 279014400.

The previous prime is 314456059. The next prime is 314456083. The reversal of 314456077 is 770654413.

It can be written as a sum of positive squares in 8 ways, for example, as 14092516 + 300363561 = 3754^2 + 17331^2 .

It is a cyclic number.

It is not a de Polignac number, because 314456077 - 219 = 313931789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314456027) 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, 89127 + ... + 92587.

It is an arithmetic number, because the mean of its divisors is an integer number (21992355).

Almost surely, 2314456077 is an apocalyptic number.

It is an amenable number.

314456077 is a deficient number, since it is larger than the sum of its proper divisors (37421603).

314456077 is a wasteful number, since it uses less digits than its factorization.

314456077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 314456077 is about 17732.9094341566. The cubic root of 314456077 is about 680.0173561026.

The spelling of 314456077 in words is "three hundred fourteen million, four hundred fifty-six thousand, seventy-seven".

Divisors: 1 13 29 241 377 3133 3461 6989 44993 90857 100369 834101 1304797 10843313 24188929 314456077