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301240340 = 225175373229
BaseRepresentation
bin10001111101001…
…001000000010100
3202222211121001122
4101331021000110
51104104142330
645520343112
710315333502
oct2175110024
9688747048
10301240340
11145051365
1284a74a98
134a54352b
142c017672
151b6a65e5
hex11f49014

301240340 has 96 divisors (see below), whose sum is σ = 694824480. Its totient is φ = 109264896.

The previous prime is 301240339. The next prime is 301240363. The reversal of 301240340 is 43042103.

It can be written as a sum of positive squares in 16 ways, for example, as 2572816 + 298667524 = 1604^2 + 17282^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315346 + ... + 1315574.

It is an arithmetic number, because the mean of its divisors is an integer number (7237755).

Almost surely, 2301240340 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 301240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347412240).

301240340 is an abundant number, since it is smaller than the sum of its proper divisors (393584140).

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

301240340 is a wasteful number, since it uses less digits than its factorization.

301240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 301240340 is about 17356.2766744484. The cubic root of 301240340 is about 670.3542642713.

Adding to 301240340 its reverse (43042103), we get a palindrome (344282443).

The spelling of 301240340 in words is "three hundred one million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 73 85 106 146 170 212 229 265 292 340 365 458 530 730 901 916 1060 1145 1241 1460 1802 2290 2482 3604 3869 3893 4505 4580 4964 6205 7738 7786 9010 12137 12410 15476 15572 16717 18020 19345 19465 24274 24820 33434 38690 38930 48548 60685 65773 66868 77380 77860 83585 121370 131546 167170 206329 242740 263092 284189 328865 334340 412658 568378 657730 825316 886001 1031645 1136756 1315460 1420945 1772002 2063290 2841890 3544004 4126580 4430005 5683780 8860010 15062017 17720020 30124034 60248068 75310085 150620170 301240340