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310143420 = 223257323603
BaseRepresentation
bin10010011111000…
…110100110111100
3210121120220210100
4102133012212330
51113344042140
650435241100
710454114136
oct2237064674
9717526710
10310143420
1114a082384
1287a49190
134c33ca22
142d294056
151c364530
hex127c69bc

310143420 has 72 divisors (see below), whose sum is σ = 953696016. Its totient is φ = 81568512.

The previous prime is 310143413. The next prime is 310143433. The reversal of 310143420 is 24341013.

310143420 is a `hidden beast` number, since 310 + 14 + 342 + 0 = 666.

310143420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 310143393 and 310143402.

It is a congruent number.

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, 1339 + ... + 24941.

It is an arithmetic number, because the mean of its divisors is an integer number (13245778).

Almost surely, 2310143420 is an apocalyptic number.

310143420 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 310143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476848008).

310143420 is an abundant number, since it is smaller than the sum of its proper divisors (643552596).

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

310143420 is a wasteful number, since it uses less digits than its factorization.

310143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691 (or 23686 counting only the distinct ones).

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

The square root of 310143420 is about 17610.8892450097. The cubic root of 310143420 is about 676.8943003170.

Adding to 310143420 its reverse (24341013), we get a palindrome (334484433).

The spelling of 310143420 in words is "three hundred ten million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 23603 47206 70809 94412 118015 141618 212427 236030 283236 354045 424854 472060 708090 849708 1062135 1416180 1723019 2124270 3446038 4248540 5169057 6892076 8615095 10338114 15507171 17230190 20676228 25845285 31014342 34460380 51690570 62028684 77535855 103381140 155071710 310143420