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314274240 = 263257217131
BaseRepresentation
bin10010101110110…
…111000111000000
3210220100210012200
4102232313013000
51120423233430
651103553200
710534200300
oct2256670700
9726323180
10314274240
11151443985
12892bb800
1350157cb7
142da4b600
151c8cd460
hex12bb71c0

314274240 has 504 divisors, whose sum is σ = 1341589392. Its totient is φ = 67092480.

The previous prime is 314274209. The next prime is 314274251. The reversal of 314274240 is 42472413.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398975 + ... + 2399105.

Almost surely, 2314274240 is an apocalyptic number.

314274240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670794696).

314274240 is an abundant number, since it is smaller than the sum of its proper divisors (1027315152).

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

314274240 is a wasteful number, since it uses less digits than its factorization.

314274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 314274240 is about 17727.7815871022. The cubic root of 314274240 is about 679.8862554847.

The spelling of 314274240 in words is "three hundred fourteen million, two hundred seventy-four thousand, two hundred forty".