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310420240 = 24513595059
BaseRepresentation
bin10010100000001…
…010001100010000
3210122002222111221
4102200022030100
51113431421430
650445214424
710456346164
oct2240121420
9718088457
10310420240
1114a251359
1287b61414
134c408a20
142d326ca4
151c3bb57a
hex1280a310

310420240 has 80 divisors (see below), whose sum is σ = 790574400. Its totient is φ = 112651776.

The previous prime is 310420223. The next prime is 310420247. The reversal of 310420240 is 42024013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (310420247) 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, 58831 + ... + 63889.

It is an arithmetic number, because the mean of its divisors is an integer number (9882180).

Almost surely, 2310420240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395287200).

310420240 is an abundant number, since it is smaller than the sum of its proper divisors (480154160).

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

310420240 is a wasteful number, since it uses less digits than its factorization.

310420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 310420240 is about 17618.7468339834. The cubic root of 310420240 is about 677.0956288502.

Adding to 310420240 its reverse (42024013), we get a palindrome (352444253).

The spelling of 310420240 in words is "three hundred ten million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1040 1180 1534 2360 3068 3835 4720 5059 6136 7670 10118 12272 15340 20236 25295 30680 40472 50590 61360 65767 80944 101180 131534 202360 263068 298481 328835 404720 526136 596962 657670 1052272 1193924 1315340 1492405 2387848 2630680 2984810 3880253 4775696 5261360 5969620 7760506 11939240 15521012 19401265 23878480 31042024 38802530 62084048 77605060 155210120 310420240