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301430140 = 22511731372
BaseRepresentation
bin10001111101110…
…111010101111100
3210000012020102021
4101331313111330
51104131231030
645524405524
710320054034
oct2175672574
9700166367
10301430140
11145170a20
1284b468a4
134a5aba3b
142c0668c4
151b6e297a
hex11f7757c

301430140 has 72 divisors (see below), whose sum is σ = 705155472. Its totient is φ = 107320320.

The previous prime is 301430113. The next prime is 301430141. The reversal of 301430140 is 41034103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301430141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200152 + ... + 2200288.

It is an arithmetic number, because the mean of its divisors is an integer number (9793826).

Almost surely, 2301430140 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 301430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352577736).

301430140 is an abundant number, since it is smaller than the sum of its proper divisors (403725332).

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

301430140 is a wasteful number, since it uses less digits than its factorization.

301430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 301430140 is about 17361.7435760352. The cubic root of 301430140 is about 670.4950228951.

Adding to 301430140 its reverse (41034103), we get a palindrome (342464243).

The spelling of 301430140 in words is "three hundred one million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 220 274 292 365 548 685 730 803 1370 1460 1507 1606 2740 3014 3212 4015 6028 7535 8030 10001 15070 16060 18769 20002 30140 37538 40004 50005 75076 93845 100010 110011 187690 200020 206459 220022 375380 412918 440044 550055 825836 1032295 1100110 1370137 2064590 2200220 2740274 4129180 5480548 6850685 13701370 15071507 27402740 30143014 60286028 75357535 150715070 301430140