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314000000 = 2756157
BaseRepresentation
bin10010101101110…
…100001010000000
3210212211212000122
4102231310022000
51120341000000
651054035412
710531645616
oct2255641200
9725755018
10314000000
11151276936
12891a8b68
1350090222
142d9b96b6
151c877085
hex12b74280

314000000 has 112 divisors (see below), whose sum is σ = 786903990. Its totient is φ = 124800000.

The previous prime is 313999981. The next prime is 314000003. The reversal of 314000000 is 413.

It can be written as a sum of positive squares in 7 ways, for example, as 200279104 + 113720896 = 14152^2 + 10664^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (314000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999922 + ... + 2000078.

Almost surely, 2314000000 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 314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393451995).

314000000 is an abundant number, since it is smaller than the sum of its proper divisors (472903990).

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

314000000 is an frugal number, since it uses more digits than its factorization.

314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 314000000 is about 17720.0451466694. The cubic root of 314000000 is about 679.6884385859.

Adding to 314000000 its reverse (413), we get a palindrome (314000413).

The spelling of 314000000 in words is "three hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 314 320 400 500 625 628 640 785 800 1000 1250 1256 1570 1600 2000 2500 2512 3125 3140 3200 3925 4000 5000 5024 6250 6280 7850 8000 10000 10048 12500 12560 15625 15700 16000 19625 20000 20096 25000 25120 31250 31400 39250 40000 50000 50240 62500 62800 78500 80000 98125 100000 100480 125000 125600 157000 196250 200000 250000 251200 314000 392500 400000 490625 500000 502400 628000 785000 981250 1000000 1256000 1570000 1962500 2000000 2453125 2512000 3140000 3925000 4906250 6280000 7850000 9812500 12560000 15700000 19625000 31400000 39250000 62800000 78500000 157000000 314000000