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314444477 = 23229103199
BaseRepresentation
bin10010101111100…
…000101010111101
3210220200102201202
4102233200222331
51120444210402
651111345245
710535506514
oct2257405275
9726612652
10314444477
1115154a876
1289382225
13501b7629
142da9367b
151c913b02
hex12be0abd

314444477 has 24 divisors (see below), whose sum is σ = 345072000. Its totient is φ = 286136928.

The previous prime is 314444437. The next prime is 314444483. The reversal of 314444477 is 774444413.

It is a happy number.

It is not a de Polignac number, because 314444477 - 218 = 314182333 is a prime.

It is a super-3 number, since 3×3144444773 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314444477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314444407) 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, 1580024 + ... + 1580222.

It is an arithmetic number, because the mean of its divisors is an integer number (14378000).

Almost surely, 2314444477 is an apocalyptic number.

It is an amenable number.

314444477 is a deficient number, since it is larger than the sum of its proper divisors (30627523).

314444477 is a wasteful number, since it uses less digits than its factorization.

314444477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its digits is 150528, while the sum is 38.

The square root of 314444477 is about 17732.5823556525. The cubic root of 314444477 is about 680.0089942582.

The spelling of 314444477 in words is "three hundred fourteen million, four hundred forty-four thousand, four hundred seventy-seven".

Divisors: 1 23 29 103 199 529 667 2369 2987 4577 5771 15341 20497 54487 68701 105271 132733 471431 594413 1580123 3052859 10842913 13671499 314444477