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303150036 = 223753149457
BaseRepresentation
bin10010000100011…
…011001111010100
3210010102121200010
4102010123033110
51110101300121
650025320220
710340506230
oct2204331724
9703377603
10303150036
11146136122
1285636070
134aa61827
142c3935c0
151b932376
hex1211b3d4

303150036 has 96 divisors (see below), whose sum is σ = 830995200. Its totient is φ = 84225024.

The previous prime is 303150031. The next prime is 303150059. The reversal of 303150036 is 630051303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 303149994 and 303150021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303150031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663120 + ... + 663576.

It is an arithmetic number, because the mean of its divisors is an integer number (8656200).

Almost surely, 2303150036 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 303150036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415497600).

303150036 is an abundant number, since it is smaller than the sum of its proper divisors (527845164).

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

303150036 is a wasteful number, since it uses less digits than its factorization.

303150036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 303150036 is about 17411.2043236532. The cubic root of 303150036 is about 671.7678389496.

The spelling of 303150036 in words is "three hundred three million, one hundred fifty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 149 159 212 298 318 371 447 457 596 636 742 894 914 1043 1113 1371 1484 1788 1828 2086 2226 2742 3129 3199 4172 4452 5484 6258 6398 7897 9597 12516 12796 15794 19194 23691 24221 31588 38388 47382 48442 55279 68093 72663 94764 96884 110558 136186 145326 165837 169547 204279 221116 272372 290652 331674 339094 408558 476651 508641 663348 678188 817116 953302 1017282 1429953 1906604 2034564 2859906 3608929 5719812 7217858 10826787 14435716 21653574 25262503 43307148 50525006 75787509 101050012 151575018 303150036