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34313000340 = 22352325796749
BaseRepresentation
bin11111111101001101…
…101101010110010100
310021120022222000120110
4133331031231112110
51030233112002330
623432502403020
72323210455603
oct377515552624
9107508860513
1034313000340
1113608881023
126797430470
13330aab69c8
141937197a3a
15d5c5c9db0
hex7fd36d594

34313000340 has 96 divisors (see below), whose sum is σ = 100644768000. Its totient is φ = 8718155776.

The previous prime is 34313000329. The next prime is 34313000341. The reversal of 34313000340 is 4300031343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313000341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306286 + ... + 403034.

It is an arithmetic number, because the mean of its divisors is an integer number (1048383000).

Almost surely, 234313000340 is an apocalyptic number.

34313000340 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 34313000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50322384000).

34313000340 is an abundant number, since it is smaller than the sum of its proper divisors (66331767660).

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

34313000340 is a wasteful number, since it uses less digits than its factorization.

34313000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97041 (or 97039 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 34313000340 its reverse (4300031343), we get a palindrome (38613031683).

The spelling of 34313000340 in words is "thirty-four billion, three hundred thirteen million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 257 276 345 460 514 690 771 1028 1285 1380 1542 2570 3084 3855 5140 5911 7710 11822 15420 17733 23644 29555 35466 59110 70932 88665 96749 118220 177330 193498 290247 354660 386996 483745 580494 967490 1160988 1451235 1934980 2225227 2902470 4450454 5804940 6675681 8900908 11126135 13351362 22252270 24864493 26702724 33378405 44504540 49728986 66756810 74593479 99457972 124322465 133513620 149186958 248644930 298373916 372967395 497289860 571883339 745934790 1143766678 1491869580 1715650017 2287533356 2859416695 3431300034 5718833390 6862600068 8578250085 11437666780 17156500170 34313000340