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310442000 = 245311103137
BaseRepresentation
bin10010100000001…
…111100000010000
3210122011002100212
4102200033200100
51113433121000
650445503252
710456466501
oct2240174020
9718132325
10310442000
1114a266740
1287b71b28
134c4158bb
142d330ba8
151c3c2c35
hex1280f810

310442000 has 160 divisors (see below), whose sum is σ = 832875264. Its totient is φ = 110976000.

The previous prime is 310441987. The next prime is 310442047. The reversal of 310442000 is 244013.

310442000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265932 + ... + 2266068.

Almost surely, 2310442000 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 310442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416437632).

310442000 is an abundant number, since it is smaller than the sum of its proper divisors (522433264).

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

310442000 is a wasteful number, since it uses less digits than its factorization.

310442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

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

The square root of 310442000 is about 17619.3643472175. The cubic root of 310442000 is about 677.1114496148. Note that the first 3 decimals are identical.

Adding to 310442000 its reverse (244013), we get a palindrome (310686013).

The spelling of 310442000 in words is "three hundred ten million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 103 110 125 137 176 200 206 220 250 274 275 400 412 440 500 515 548 550 685 824 880 1000 1030 1096 1100 1133 1370 1375 1507 1648 2000 2060 2192 2200 2266 2575 2740 2750 3014 3425 4120 4400 4532 5150 5480 5500 5665 6028 6850 7535 8240 9064 10300 10960 11000 11330 12056 12875 13700 14111 15070 17125 18128 20600 22000 22660 24112 25750 27400 28222 28325 30140 34250 37675 41200 45320 51500 54800 56444 56650 60280 68500 70555 75350 90640 103000 112888 113300 120560 137000 141110 141625 150700 155221 188375 206000 225776 226600 274000 282220 283250 301400 310442 352775 376750 453200 564440 566500 602800 620884 705550 753500 776105 1128880 1133000 1241768 1411100 1507000 1552210 1763875 2266000 2483536 2822200 3014000 3104420 3527750 3880525 5644400 6208840 7055500 7761050 12417680 14111000 15522100 19402625 28222000 31044200 38805250 62088400 77610500 155221000 310442000