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816150330 = 23453132503
BaseRepresentation
bin110000101001010…
…111011100111010
32002212201201210000
4300221113130322
53132413302310
6212552533430
726140110012
oct6051273472
92085651700
10816150330
11389771906
121a93b1276
13100118cb8
147a570c42
154b9b74c0
hex30a5773a

816150330 has 80 divisors (see below), whose sum is σ = 2265398784. Its totient is φ = 210612960.

The previous prime is 816150227. The next prime is 816150367. The reversal of 816150330 is 33051618.

It is a super-2 number, since 2×8161503302 = 1332202722318217800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 816150294 and 816150303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8859 + ... + 41361.

Almost surely, 2816150330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816150330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132699392).

816150330 is an abundant number, since it is smaller than the sum of its proper divisors (1449248454).

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

816150330 is a wasteful number, since it uses less digits than its factorization.

816150330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32553 (or 32544 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 816150330 is about 28568.3448943057. The cubic root of 816150330 is about 934.5231270476.

The spelling of 816150330 in words is "eight hundred sixteen million, one hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 32503 65006 97509 162515 195018 292527 325030 487545 585054 877581 975090 1007593 1462635 1755162 2015186 2632743 2925270 3022779 4387905 5037965 5265486 6045558 8775810 9068337 10075930 13163715 15113895 18136674 26327430 27205011 30227790 45341685 54410022 81615033 90683370 136025055 163230066 272050110 408075165 816150330