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987342312 = 2331131223541
BaseRepresentation
bin111010110110011…
…010010111101000
32112210212012000210
4322312122113220
54010224423222
6241550101120
733316162005
oct7266322750
92483765023
10987342312
11467368990
122367aa7a0
13129727a28
14951b48ac
155ba30d0c
hex3ad9a5e8

987342312 has 128 divisors (see below), whose sum is σ = 2797240320. Its totient is φ = 287712000.

The previous prime is 987342283. The next prime is 987342319. The reversal of 987342312 is 213243789.

It is not an unprimeable number, because it can be changed into a prime (987342319) 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, 1824762 + ... + 1825302.

It is an arithmetic number, because the mean of its divisors is an integer number (21853440).

Almost surely, 2987342312 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 987342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398620160).

987342312 is an abundant number, since it is smaller than the sum of its proper divisors (1809898008).

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

987342312 is a wasteful number, since it uses less digits than its factorization.

987342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 987342312 is about 31422.0036280311. The cubic root of 987342312 is about 995.7628425204.

The spelling of 987342312 in words is "nine hundred eighty-seven million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 223 248 264 341 372 446 541 669 682 744 892 1023 1082 1338 1364 1623 1784 2046 2164 2453 2676 2728 3246 4092 4328 4906 5352 5951 6492 6913 7359 8184 9812 11902 12984 13826 14718 16771 17853 19624 20739 23804 27652 29436 33542 35706 41478 47608 50313 55304 58872 67084 71412 76043 82956 100626 120643 134168 142824 152086 165912 184481 201252 228129 241286 304172 361929 368962 402504 456258 482572 553443 608344 723858 737924 912516 965144 1106886 1327073 1447716 1475848 1825032 2213772 2654146 2895432 3739933 3981219 4427544 5308292 7479866 7962438 10616584 11219799 14959732 15924876 22439598 29919464 31849752 41139263 44879196 82278526 89758392 123417789 164557052 246835578 329114104 493671156 987342312