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83312340 = 223519107683
BaseRepresentation
bin1001111011100…
…11111011010100
312210202201001020
410331303323110
5132311443330
612133401140
72031100056
oct475637324
9183681036
1083312340
1143033881
1223a991b0
131434cc57
14b0c98d6
1574aa210
hex4f73ed4

83312340 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 20820096.

The previous prime is 83312263. The next prime is 83312347. The reversal of 83312340 is 4321338.

It is a self number, because there is not a number n which added to its sum of digits gives 83312340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83312347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121639 + ... + 122321.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 283312340 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 83312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

83312340 is an abundant number, since it is smaller than the sum of its proper divisors (164897580).

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

83312340 is a wasteful number, since it uses less digits than its factorization.

83312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83312340 is about 9127.5593671036. The cubic root of 83312340 is about 436.7535505559.

Adding to 83312340 its reverse (4321338), we get a palindrome (87633678).

The spelling of 83312340 in words is "eighty-three million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 683 1070 1140 1284 1366 1605 2033 2049 2140 2732 3210 3415 4066 4098 6099 6420 6830 8132 8196 10165 10245 12198 12977 13660 20330 20490 24396 25954 30495 38931 40660 40980 51908 60990 64885 73081 77862 121980 129770 146162 155724 194655 219243 259540 292324 365405 389310 438486 730810 778620 876972 1096215 1388539 1461620 2192430 2777078 4165617 4384860 5554156 6942695 8331234 13885390 16662468 20828085 27770780 41656170 83312340