| Base | Representation |
|---|---|
| bin | 10010101111110… |
| … | …000101011011000 |
| 3 | 210220210202200000 |
| 4 | 102233300223120 |
| 5 | 1121003310130 |
| 6 | 51113013000 |
| 7 | 10536201615 |
| oct | 2257605330 |
| 9 | 726722600 |
| 10 | 314510040 |
| 11 | 151595059 |
| 12 | 893b4160 |
| 13 | 5020b420 |
| 14 | 2daad50c |
| 15 | 1c928260 |
| hex | 12bf0ad8 |
314510040 has 384 divisors, whose sum is σ = 1210809600. Its totient is φ = 72783360.
The previous prime is 314510029. The next prime is 314510051. The reversal of 314510040 is 40015413.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (314510029) and next prime (314510051).
It is a super-3 number, since 3×3145100403 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 314509995 and 314510022.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400775 + ... + 2400905.
It is an arithmetic number, because the mean of its divisors is an integer number (3153150).
Almost surely, 2314510040 is an apocalyptic number.
314510040 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 314510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).
314510040 is an abundant number, since it is smaller than the sum of its proper divisors (896299560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314510040 is a wasteful number, since it uses less digits than its factorization.
314510040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 314510040 is about 17734.4309184140. The cubic root of 314510040 is about 680.0562525552.
Adding to 314510040 its reverse (40015413), we get a palindrome (354525453).
The spelling of 314510040 in words is "three hundred fourteen million, five hundred ten thousand, forty".
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