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817331940 = 2232529156577
BaseRepresentation
bin110000101101110…
…111111011100100
32002221221202122100
4300231313323210
53133214110230
6213034132100
726153130645
oct6055677344
92087852570
10817331940
1138a3a9647
121a9881030
13100440a89
147a79b6cc
154bb4c660
hex30b77ee4

817331940 has 72 divisors (see below), whose sum is σ = 2564747640. Its totient is φ = 210438144.

The previous prime is 817331939. The next prime is 817331953. The reversal of 817331940 is 49133718.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 793886976 = 4842^2 + 28176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 817331895 and 817331904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73069 + ... + 83508.

It is an arithmetic number, because the mean of its divisors is an integer number (35621495).

Almost surely, 2817331940 is an apocalyptic number.

It is an amenable number.

817331940 is an abundant number, since it is smaller than the sum of its proper divisors (1747415700).

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

817331940 is a wasteful number, since it uses less digits than its factorization.

817331940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156621 (or 156616 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 817331940 is about 28589.0178215342. The cubic root of 817331940 is about 934.9739056841.

The spelling of 817331940 in words is "eight hundred seventeen million, three hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 156577 313154 469731 626308 782885 939462 1409193 1565770 1878924 2348655 2818386 3131540 4540733 4697310 5636772 7045965 9081466 9394620 13622199 14091930 18162932 22703665 27244398 28183860 40866597 45407330 54488796 68110995 81733194 90814660 136221990 163466388 204332985 272443980 408665970 817331940