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301134420 = 2232519191461
BaseRepresentation
bin10001111100101…
…111001001010100
3202222122012202200
4101330233021110
51104042300140
645514204500
710314412626
oct2174571124
9688565680
10301134420
11144a89824
1284a23730
134a507262
142bdcac16
151b685030
hex11f2f254

301134420 has 144 divisors (see below), whose sum is σ = 968647680. Its totient is φ = 75513600.

The previous prime is 301134391. The next prime is 301134433. The reversal of 301134420 is 24431103.

301134420 is a `hidden beast` number, since 301 + 1 + 344 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 301134393 and 301134402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652990 + ... + 653450.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2301134420 is an apocalyptic number.

301134420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

301134420 is an abundant number, since it is smaller than the sum of its proper divisors (667513260).

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

301134420 is a wasteful number, since it uses less digits than its factorization.

301134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 301134420 is about 17353.2250604895. The cubic root of 301134420 is about 670.2756866509.

Adding to 301134420 its reverse (24431103), we get a palindrome (325565523).

The spelling of 301134420 in words is "three hundred one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 191 228 285 342 380 382 461 570 573 684 764 855 922 955 1140 1146 1383 1710 1719 1844 1910 2292 2305 2766 2865 3420 3438 3629 3820 4149 4610 5532 5730 6876 6915 7258 8298 8595 8759 9220 10887 11460 13830 14516 16596 17190 17518 18145 20745 21774 26277 27660 32661 34380 35036 36290 41490 43548 43795 52554 54435 65322 72580 78831 82980 87590 88051 105108 108870 130644 131385 157662 163305 175180 176102 217740 262770 264153 315324 326610 352204 394155 440255 525540 528306 653220 788310 792459 880510 1056612 1320765 1576620 1584918 1672969 1761020 2641530 3169836 3345938 3962295 5018907 5283060 6691876 7924590 8364845 10037814 15056721 15849180 16729690 20075628 25094535 30113442 33459380 50189070 60226884 75283605 100378140 150567210 301134420