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306140148 = 22351797191
BaseRepresentation
bin10010001111110…
…101001111110100
3210100001112100000
4102033311033310
51111332441043
650213351300
710405101606
oct2217651764
9710045300
10306140148
11147898696
1286638530
134b56a822
142c931176
151bd232d3
hex123f53f4

306140148 has 144 divisors (see below), whose sum is σ = 862977024. Its totient is φ = 94556160.

The previous prime is 306140147. The next prime is 306140201. The reversal of 306140148 is 841041603.

306140148 is a `hidden beast` number, since 3 + 0 + 614 + 0 + 1 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306140147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602733 + ... + 1602923.

It is an arithmetic number, because the mean of its divisors is an integer number (5992896).

Almost surely, 2306140148 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 306140148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431488512).

306140148 is an abundant number, since it is smaller than the sum of its proper divisors (556836876).

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

306140148 is a wasteful number, since it uses less digits than its factorization.

306140148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 306140148 is about 17496.8610899212. The cubic root of 306140148 is about 673.9692713173.

The spelling of 306140148 in words is "three hundred six million, one hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 97 102 108 153 162 191 194 204 243 291 306 324 382 388 459 486 573 582 612 764 873 918 972 1146 1164 1377 1649 1719 1746 1836 2292 2619 2754 3247 3298 3438 3492 4131 4947 5157 5238 5508 6494 6596 6876 7857 8262 9741 9894 10314 10476 12988 14841 15471 15714 16524 18527 19482 19788 20628 23571 29223 29682 30942 31428 37054 38964 44523 46413 47142 55581 58446 59364 61884 74108 87669 89046 92826 94284 111162 116892 133569 166743 175338 178092 185652 222324 263007 267138 314959 333486 350676 400707 500229 526014 534276 629918 666972 789021 801414 944877 1000458 1052028 1259836 1500687 1578042 1602828 1889754 2000916 2834631 3001374 3156084 3779508 4502061 5669262 6002748 8503893 9004122 11338524 17007786 18008244 25511679 34015572 51023358 76535037 102046716 153070074 306140148