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981324936 = 233383127431
BaseRepresentation
bin111010011111011…
…101010010001000
32112101112110202000
4322133131102020
54002204344221
6241213111000
733214060434
oct7237352210
92471473660
10981324936
11463a28a49
12234788460
131283cbb57
14944899c4
155b242e26
hex3a7dd488

981324936 has 128 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 319878720.

The previous prime is 981324913. The next prime is 981324979. The reversal of 981324936 is 639423189.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 981324891 and 981324900.

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, 2276641 + ... + 2277071.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2981324936 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 981324936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

981324936 is an abundant number, since it is smaller than the sum of its proper divisors (1805593464).

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

981324936 is a wasteful number, since it uses less digits than its factorization.

981324936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 981324936 is about 31326.1063012945. The cubic root of 981324936 is about 993.7358206592.

The spelling of 981324936 in words is "nine hundred eighty-one million, three hundred twenty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 127 166 216 249 254 332 381 431 498 508 664 747 762 862 996 1016 1143 1293 1494 1524 1724 1992 2241 2286 2586 2988 3048 3429 3448 3879 4482 4572 5172 5976 6858 7758 8964 9144 10344 10541 11637 13716 15516 17928 21082 23274 27432 31032 31623 35773 42164 46548 54737 63246 71546 84328 93096 94869 107319 109474 126492 143092 164211 189738 214638 218948 252984 284607 286184 321957 328422 379476 429276 437896 492633 569214 643914 656844 758952 858552 965871 985266 1138428 1287828 1313688 1477899 1931742 1970532 2276856 2575656 2955798 3863484 3941064 4543171 5911596 7726968 9086342 11823192 13629513 18172684 27259026 36345368 40888539 54518052 81777078 109036104 122665617 163554156 245331234 327108312 490662468 981324936