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310420040 = 23571139811
BaseRepresentation
bin10010100000001…
…010001001001000
3210122002222020112
4102200022021020
51113431420130
650445213452
710456345460
oct2240121110
9718088215
10310420040
1114a251197
1287b61288
134c4088c8
142d326ba0
151c3bb495
hex1280a248

310420040 has 64 divisors (see below), whose sum is σ = 805368960. Its totient is φ = 105477120.

The previous prime is 310420027. The next prime is 310420049. The reversal of 310420040 is 40024013.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 310419997 and 310420024.

It is not an unprimeable number, because it can be changed into a prime (310420049) 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, 26735 + ... + 36545.

It is an arithmetic number, because the mean of its divisors is an integer number (12583890).

Almost surely, 2310420040 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 310420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402684480).

310420040 is an abundant number, since it is smaller than the sum of its proper divisors (494948920).

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

310420040 is a wasteful number, since it uses less digits than its factorization.

310420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 310420040 is about 17618.7411582099. The cubic root of 310420040 is about 677.0954834354.

Adding to 310420040 its reverse (40024013), we get a palindrome (350444053).

The spelling of 310420040 in words is "three hundred ten million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 9811 15820 19622 31640 39244 49055 68677 78488 98110 137354 196220 274708 343385 392440 549416 686770 1108643 1373540 2217286 2747080 4434572 5543215 7760501 8869144 11086430 15521002 22172860 31042004 38802505 44345720 62084008 77605010 155210020 310420040