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314277240 = 23357136887
BaseRepresentation
bin10010101110110…
…111110101111000
3210220100221022210
4102232313311320
51120423332430
651104015120
710534212114
oct2256676570
9726327283
10314277240
11151446162
12893014a0
1350159484
142da4c744
151c8ce2b0
hex12bb7d78

314277240 has 64 divisors (see below), whose sum is σ = 956136960. Its totient is φ = 82624640.

The previous prime is 314277217. The next prime is 314277241. The reversal of 314277240 is 42772413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314277198 and 314277207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314277241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9924 + ... + 26963.

It is an arithmetic number, because the mean of its divisors is an integer number (14939640).

Almost surely, 2314277240 is an apocalyptic number.

314277240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314277240 is an abundant number, since it is smaller than the sum of its proper divisors (641859720).

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

314277240 is a wasteful number, since it uses less digits than its factorization.

314277240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36972 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 314277240 is about 17727.8661998561. The cubic root of 314277240 is about 679.8884188312. Note that the first 3 decimals are identical.

The spelling of 314277240 in words is "three hundred fourteen million, two hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 36887 73774 110661 147548 184435 221322 295096 368870 442644 553305 737740 885288 1106610 1475480 2213220 2618977 4426440 5237954 7856931 10475908 13094885 15713862 20951816 26189770 31427724 39284655 52379540 62855448 78569310 104759080 157138620 314277240