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314250000 = 24356419
BaseRepresentation
bin10010101110110…
…001001100010000
3210220022112221220
4102232301030100
51120422000000
651103245040
710534036521
oct2256611420
9726275856
10314250000
11151427749
12892a9780
1350149c5c
142da42848
151c8c61a0
hex12bb1310

314250000 has 140 divisors (see below), whose sum is σ = 1017174480. Its totient is φ = 83600000.

The previous prime is 314249993. The next prime is 314250017. The reversal of 314250000 is 52413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 749791 + ... + 750209.

It is an arithmetic number, because the mean of its divisors is an integer number (7265532).

Almost surely, 2314250000 is an apocalyptic number.

314250000 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 314250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508587240).

314250000 is an abundant number, since it is smaller than the sum of its proper divisors (702924480).

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

314250000 is an frugal number, since it uses more digits than its factorization.

314250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 314250000 is about 17727.0979012358. The cubic root of 314250000 is about 679.8687751395.

The spelling of 314250000 in words is "three hundred fourteen million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 419 500 600 625 750 838 1000 1200 1250 1257 1500 1676 1875 2000 2095 2500 2514 3000 3125 3352 3750 4190 5000 5028 6000 6250 6285 6704 7500 8380 9375 10000 10056 10475 12500 12570 15000 15625 16760 18750 20112 20950 25000 25140 30000 31250 31425 33520 37500 41900 46875 50000 50280 52375 62500 62850 75000 83800 93750 100560 104750 125000 125700 150000 157125 167600 187500 209500 250000 251400 261875 314250 375000 419000 502800 523750 628500 750000 785625 838000 1047500 1257000 1309375 1571250 2095000 2514000 2618750 3142500 3928125 4190000 5237500 6285000 6546875 7856250 10475000 12570000 13093750 15712500 19640625 20950000 26187500 31425000 39281250 52375000 62850000 78562500 104750000 157125000 314250000