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313240020 = 223529180023
BaseRepresentation
bin10010101010111…
…010100111010100
3210211102020112020
4102222322213110
51120142140040
651025453140
710522332132
oct2252724724
9724366466
10313240020
111508a7955
1288aa11b0
134cb85332
142d85c752
151c776cd0
hex12aba9d4

313240020 has 48 divisors (see below), whose sum is σ = 907320960. Its totient is φ = 80649856.

The previous prime is 313240019. The next prime is 313240021. The reversal of 313240020 is 20042313.

313240020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313240019) and next prime (313240021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313240021) 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, 88272 + ... + 91751.

It is an arithmetic number, because the mean of its divisors is an integer number (18902520).

Almost surely, 2313240020 is an apocalyptic number.

313240020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313240020 is an abundant number, since it is smaller than the sum of its proper divisors (594080940).

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

313240020 is a wasteful number, since it uses less digits than its factorization.

313240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180064 (or 180062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 313240020 is about 17698.5880792791. The cubic root of 313240020 is about 679.1396414320.

Adding to 313240020 its reverse (20042313), we get a palindrome (333282333).

The spelling of 313240020 in words is "three hundred thirteen million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 180023 360046 540069 720092 900115 1080138 1800230 2160276 2700345 3600460 5220667 5400690 10441334 10801380 15662001 20882668 26103335 31324002 52206670 62648004 78310005 104413340 156620010 313240020