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301534164 = 22343725153
BaseRepresentation
bin10001111110010…
…000101111010100
3210000101112010000
4101332100233110
51104143043124
645530531300
710320666231
oct2176205724
9700345100
10301534164
11145232098
1284b96b30
134a6171a9
142c092788
151b7136c9
hex11f90bd4

301534164 has 60 divisors (see below), whose sum is σ = 809606644. Its totient is φ = 97790976.

The previous prime is 301534157. The next prime is 301534169. The reversal of 301534164 is 461435103.

It can be written as a sum of positive squares in 2 ways, for example, as 223741764 + 77792400 = 14958^2 + 8820^2 .

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 (301534169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589 + ... + 24564.

Almost surely, 2301534164 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 301534164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404803322).

301534164 is an abundant number, since it is smaller than the sum of its proper divisors (508072480).

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

301534164 is a wasteful number, since it uses less digits than its factorization.

301534164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25206 (or 25195 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 301534164 is about 17364.7390996813. The cubic root of 301534164 is about 670.5721436419.

Adding to 301534164 its reverse (461435103), we get a palindrome (762969267).

The spelling of 301534164 in words is "three hundred one million, five hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 25153 50306 75459 100612 150918 226377 301836 452754 679131 905508 930661 1358262 1861322 2037393 2716524 2791983 3722644 4074786 5583966 8149572 8375949 11167932 16751898 25127847 33503796 50255694 75383541 100511388 150767082 301534164