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313084740 = 223523307739
BaseRepresentation
bin10010101010010…
…100101101000100
3210211010100112010
4102222110231010
51120122202430
651022254220
710521114333
oct2252245504
9724110463
10313084740
11150801221
1288a27370
134cb2c757
142d81bd1a
151c745cb0
hex12a94b44

313084740 has 96 divisors (see below), whose sum is σ = 918973440. Its totient is φ = 79491456.

The previous prime is 313084627. The next prime is 313084747. The reversal of 313084740 is 47480313.

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 = 313084698 and 313084707.

It is not an unprimeable number, because it can be changed into a prime (313084747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423291 + ... + 424029.

It is an arithmetic number, because the mean of its divisors is an integer number (9572640).

Almost surely, 2313084740 is an apocalyptic number.

313084740 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 313084740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459486720).

313084740 is an abundant number, since it is smaller than the sum of its proper divisors (605888700).

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

313084740 is a wasteful number, since it uses less digits than its factorization.

313084740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 313084740 is about 17694.2007448768. The cubic root of 313084740 is about 679.0274013739.

The spelling of 313084740 in words is "three hundred thirteen million, eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 307 345 460 614 690 739 921 1228 1380 1478 1535 1842 2217 2956 3070 3684 3695 4434 4605 6140 7061 7390 8868 9210 11085 14122 14780 16997 18420 21183 22170 28244 33994 35305 42366 44340 50991 67988 70610 84732 84985 101982 105915 141220 169970 203964 211830 226873 254955 339940 423660 453746 509910 680619 907492 1019820 1134365 1361238 2268730 2722476 3403095 4537460 5218079 6806190 10436158 13612380 15654237 20872316 26090395 31308474 52180790 62616948 78271185 104361580 156542370 313084740