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341342412 = 2232989103107
BaseRepresentation
bin10100010110000…
…111100011001100
3212210021222202120
4110112013203030
51144340424122
653512052540
711313235245
oct2426074314
9783258676
10341342412
11165751674
1296394150
1355944678
1433495ccc
151ee7875c
hex145878cc

341342412 has 96 divisors (see below), whose sum is σ = 849139200. Its totient is φ = 106563072.

The previous prime is 341342401. The next prime is 341342413. The reversal of 341342412 is 214243143.

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 (341342413) 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, 3190063 + ... + 3190169.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2341342412 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 341342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

341342412 is an abundant number, since it is smaller than the sum of its proper divisors (507796788).

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

341342412 is a wasteful number, since it uses less digits than its factorization.

341342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 341342412 is about 18475.4543110582. The cubic root of 341342412 is about 698.8705677855.

Adding to 341342412 its reverse (214243143), we get a palindrome (555585555).

The spelling of 341342412 in words is "three hundred forty-one million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 89 103 107 116 174 178 206 214 267 309 321 348 356 412 428 534 618 642 1068 1236 1284 2581 2987 3103 5162 5974 6206 7743 8961 9167 9309 9523 10324 11021 11948 12412 15486 17922 18334 18618 19046 22042 27501 28569 30972 33063 35844 36668 37236 38092 44084 55002 57138 66126 110004 114276 132252 265843 276167 319609 531686 552334 639218 797529 828501 958827 980869 1063372 1104668 1278436 1595058 1657002 1917654 1961738 2942607 3190116 3314004 3835308 3923476 5885214 11770428 28445201 56890402 85335603 113780804 170671206 341342412