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816300045 = 335111813037
BaseRepresentation
bin110000101001111…
…100000000001101
32002220000100011000
4300221330000031
53132433100140
6213000050513
726141302341
oct6051740015
92086010130
10816300045
11389864340
121a9463a39
1310016c1a2
147a5ad621
154b9e6a30
hex30a7c00d

816300045 has 64 divisors (see below), whose sum is σ = 1592398080. Its totient is φ = 393465600.

The previous prime is 816299989. The next prime is 816300053. The reversal of 816300045 is 540003618.

It is not a de Polignac number, because 816300045 - 222 = 812105741 is a prime.

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 = 816299991 and 816300018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267267 + ... + 270303.

It is an arithmetic number, because the mean of its divisors is an integer number (24881220).

Almost surely, 2816300045 is an apocalyptic number.

It is an amenable number.

816300045 is a deficient number, since it is larger than the sum of its proper divisors (776098035).

816300045 is a wasteful number, since it uses less digits than its factorization.

816300045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 816300045 is about 28570.9650694547. The cubic root of 816300045 is about 934.5802666743.

The spelling of 816300045 in words is "eight hundred sixteen million, three hundred thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 181 297 495 543 905 1485 1629 1991 2715 3037 4887 5973 8145 9111 9955 15185 17919 24435 27333 29865 33407 45555 53757 81999 89595 100221 136665 167035 268785 300663 409995 501105 549697 901989 1503315 1649091 2748485 4509945 4947273 6046667 8245455 14841819 18140001 24736365 30233335 54420003 74209095 90700005 163260009 272100015 816300045