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310341420 = 223252516869
BaseRepresentation
bin10010011111110…
…110111100101100
3210121221222101200
4102133312330230
51113421411140
650443405500
710455600324
oct2237667454
9717858350
10310341420
1114a1a8114
1287b23890
134c3abb9c
142d306284
151c3a3030
hex127f6f2c

310341420 has 72 divisors (see below), whose sum is σ = 945257040. Its totient is φ = 82416000.

The previous prime is 310341407. The next prime is 310341433. The reversal of 310341420 is 24143013.

It is an interprime number because it is at equal distance from previous prime (310341407) and next prime (310341433).

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 = 310341393 and 310341402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41746 + ... + 48614.

It is an arithmetic number, because the mean of its divisors is an integer number (13128570).

Almost surely, 2310341420 is an apocalyptic number.

310341420 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 310341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472628520).

310341420 is an abundant number, since it is smaller than the sum of its proper divisors (634915620).

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

310341420 is a wasteful number, since it uses less digits than its factorization.

310341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 310341420 is about 17616.5098700055. The cubic root of 310341420 is about 677.0383160119.

Adding to 310341420 its reverse (24143013), we get a palindrome (334484433).

The spelling of 310341420 in words is "three hundred ten million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 6869 7530 9036 11295 13738 15060 20607 22590 27476 34345 41214 45180 61821 68690 82428 103035 123642 137380 206070 247284 309105 412140 618210 1236420 1724119 3448238 5172357 6896476 8620595 10344714 15517071 17241190 20689428 25861785 31034142 34482380 51723570 62068284 77585355 103447140 155170710 310341420