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341142312 = 23373291429
BaseRepresentation
bin10100010101010…
…110101100101000
3212202220211021110
4110111112230220
51144313023222
653503510320
711311443000
oct2425265450
9782824243
10341142312
111656252a5
12962b83a0
13558a4574
1433443000
151ee3930c
hex14556b28

341142312 has 128 divisors (see below), whose sum is σ = 1029600000. Its totient is φ = 94042368.

The previous prime is 341142311. The next prime is 341142323. The reversal of 341142312 is 213241143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (341142311) 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 31 ways as a sum of consecutive naturals, for example, 238014 + ... + 239442.

It is an arithmetic number, because the mean of its divisors is an integer number (8043750).

Almost surely, 2341142312 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 341142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800000).

341142312 is an abundant number, since it is smaller than the sum of its proper divisors (688457688).

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

341142312 is a wasteful number, since it uses less digits than its factorization.

341142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1470 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 341142312 is about 18470.0382241077. The cubic root of 341142312 is about 698.7339783172.

Adding to 341142312 its reverse (213241143), we get a palindrome (554383455).

The spelling of 341142312 in words is "three hundred forty-one million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 343 348 392 406 588 609 686 696 812 1029 1176 1218 1372 1421 1429 1624 2058 2436 2744 2842 2858 4116 4263 4287 4872 5684 5716 8232 8526 8574 9947 10003 11368 11432 17052 17148 19894 20006 29841 30009 34104 34296 39788 40012 41441 59682 60018 70021 79576 80024 82882 119364 120036 124323 140042 165764 210063 238728 240072 248646 280084 290087 331528 420126 490147 497292 560168 580174 840252 870261 980294 994584 1160348 1470441 1680504 1740522 1960588 2030609 2320696 2940882 3481044 3921176 4061218 5881764 6091827 6962088 8122436 11763528 12183654 14214263 16244872 24367308 28428526 42642789 48734616 56857052 85285578 113714104 170571156 341142312