Search a number
-
+
301302300 = 2235213233359
BaseRepresentation
bin10001111101011…
…000001000011100
3202222221202001110
4101331120020130
51104113133200
645521542020
710316012235
oct2175301034
9688852043
10301302300
11145093972
1284aa4910
134a5657b0
142c03208c
151b6b9b50
hex11f5821c

301302300 has 144 divisors (see below), whose sum is σ = 979937280. Its totient is φ = 70920960.

The previous prime is 301302217. The next prime is 301302301. The reversal of 301302300 is 3203103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301302301) 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 47 ways as a sum of consecutive naturals, for example, 88021 + ... + 91379.

It is an arithmetic number, because the mean of its divisors is an integer number (6805120).

Almost surely, 2301302300 is an apocalyptic number.

301302300 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 301302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).

301302300 is an abundant number, since it is smaller than the sum of its proper divisors (678634980).

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

301302300 is a wasteful number, since it uses less digits than its factorization.

301302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 301302300 is about 17358.0615277167. The cubic root of 301302300 is about 670.4002212668.

Adding to 301302300 its reverse (3203103), we get a palindrome (304505403).

The spelling of 301302300 in words is "three hundred one million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3359 3450 3588 3900 4485 5980 6718 6900 7475 8970 10077 13436 14950 16795 17940 20154 22425 29900 33590 40308 43667 44850 50385 67180 77257 83975 87334 89700 100770 131001 154514 167950 174668 201540 218335 231771 251925 262002 309028 335900 386285 436670 463542 503850 524004 655005 772570 873340 927084 1004341 1007700 1091675 1158855 1310010 1545140 1931425 2008682 2183350 2317710 2620020 3013023 3275025 3862850 4017364 4366700 4635420 5021705 5794275 6026046 6550050 7725700 10043410 11588550 12052092 13100100 15065115 20086820 23177100 25108525 30130230 50217050 60260460 75325575 100434100 150651150 301302300