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314230350 = 235271392153
BaseRepresentation
bin10010101110101…
…100011001001110
3210220021120000010
4102232230121032
51120420332400
651103014050
710533625320
oct2256543116
9726246003
10314230350
11151413a05
128929a326
1350141025
142da39610
151c8c0450
hex12bac64e

314230350 has 96 divisors (see below), whose sum is σ = 897442560. Its totient is φ = 71274240.

The previous prime is 314230349. The next prime is 314230351. The reversal of 314230350 is 53032413.

It is an interprime number because it is at equal distance from previous prime (314230349) and next prime (314230351).

It is a super-2 number, since 2×3142303502 = 197481425722245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314230351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144874 + ... + 147026.

It is an arithmetic number, because the mean of its divisors is an integer number (9348360).

Almost surely, 2314230350 is an apocalyptic number.

314230350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314230350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448721280).

314230350 is an abundant number, since it is smaller than the sum of its proper divisors (583212210).

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

314230350 is a wasteful number, since it uses less digits than its factorization.

314230350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 314230350 is about 17726.5436563364. The cubic root of 314230350 is about 679.8546041505.

Adding to 314230350 its reverse (53032413), we get a palindrome (367262763).

The spelling of 314230350 in words is "three hundred fourteen million, two hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 139 150 175 210 278 350 417 525 695 834 973 1050 1390 1946 2085 2153 2919 3475 4170 4306 4865 5838 6459 6950 9730 10425 10765 12918 14595 15071 20850 21530 24325 29190 30142 32295 45213 48650 53825 64590 72975 75355 90426 107650 145950 150710 161475 226065 299267 322950 376775 452130 598534 753550 897801 1130325 1496335 1795602 2094869 2260650 2992670 4189738 4489005 6284607 7481675 8978010 10474345 12569214 14963350 20948690 22445025 31423035 44890050 52371725 62846070 104743450 157115175 314230350