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317249240 = 235711177383
BaseRepresentation
bin10010111010001…
…101011011011000
3211002221221010212
4102322031123120
51122203433430
651251430252
710601400620
oct2272153330
9732857125
10317249240
11153096060
128a2b5388
135095a159
14301c3880
151ccb9b95
hex12e8d6d8

317249240 has 256 divisors, whose sum is σ = 966712320. Its totient is φ = 90685440.

The previous prime is 317249237. The next prime is 317249243. The reversal of 317249240 is 42942713.

It is an interprime number because it is at equal distance from previous prime (317249237) and next prime (317249243).

It is a junction number, because it is equal to n+sod(n) for n = 317249197 and 317249206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317249243) 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, 3822239 + ... + 3822321.

It is an arithmetic number, because the mean of its divisors is an integer number (3776220).

Almost surely, 2317249240 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 317249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483356160).

317249240 is an abundant number, since it is smaller than the sum of its proper divisors (649463080).

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

317249240 is a wasteful number, since it uses less digits than its factorization.

317249240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 317249240 is about 17811.4917960288. The cubic root of 317249240 is about 682.0248469489.

The spelling of 317249240 in words is "three hundred seventeen million, two hundred forty-nine thousand, two hundred forty".