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314474032 = 24236114009
BaseRepresentation
bin10010101111100…
…111111000110000
3210220201221021101
4102233213320300
51121001132112
651112134144
710535661625
oct2257477060
9726657241
10314474032
1115156aaa4
1289397354
13501c7c12
142daa034c
151c91c757
hex12be7e30

314474032 has 40 divisors (see below), whose sum is σ = 646253280. Its totient is φ = 147924480.

The previous prime is 314474011. The next prime is 314474033. The reversal of 314474032 is 230474413.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (314474033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15444 + ... + 29452.

It is an arithmetic number, because the mean of its divisors is an integer number (16156332).

Almost surely, 2314474032 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 314474032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323126640).

314474032 is an abundant number, since it is smaller than the sum of its proper divisors (331779248).

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

314474032 is a wasteful number, since it uses less digits than its factorization.

314474032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14101 (or 14095 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 314474032 is about 17733.4156890318. The cubic root of 314474032 is about 680.0302985346.

The spelling of 314474032 in words is "three hundred fourteen million, four hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 488 976 1403 2806 5612 11224 14009 22448 28018 56036 112072 224144 322207 644414 854549 1288828 1709098 2577656 3418196 5155312 6836392 13672784 19654627 39309254 78618508 157237016 314474032