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341404336 = 247132171061
BaseRepresentation
bin10100010110010…
…110101010110000
3212210102010201001
4110112112222300
51144344414321
653513251344
711313613630
oct2426265260
9783363631
10341404336
11165794149
1296403b54
1355966900
14334b06c0
151ee8bc91
hex14596ab0

341404336 has 120 divisors (see below), whose sum is σ = 867560544. Its totient is φ = 126996480.

The previous prime is 341404313. The next prime is 341404361. The reversal of 341404336 is 633404143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321246 + ... + 322306.

Almost surely, 2341404336 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 341404336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433780272).

341404336 is an abundant number, since it is smaller than the sum of its proper divisors (526156208).

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

341404336 is a wasteful number, since it uses less digits than its factorization.

341404336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 341404336 is about 18477.1300801829. The cubic root of 341404336 is about 698.9128266658.

Adding to 341404336 its reverse (633404143), we get a palindrome (974808479).

The spelling of 341404336 in words is "three hundred forty-one million, four hundred four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 169 182 208 221 238 272 338 364 442 476 676 728 884 952 1061 1183 1352 1456 1547 1768 1904 2122 2366 2704 2873 3094 3536 4244 4732 5746 6188 7427 8488 9464 11492 12376 13793 14854 16976 18037 18928 20111 22984 24752 27586 29708 36074 40222 45968 55172 59416 72148 80444 96551 110344 118832 126259 144296 160888 179309 193102 220688 234481 252518 288592 321776 358618 386204 468962 505036 717236 772408 937924 1010072 1255163 1434472 1544816 1641367 1875848 2020144 2510326 2868944 3048253 3282734 3751696 5020652 6096506 6565468 10041304 12193012 13130936 20082608 21337771 24386024 26261872 42675542 48772048 85351084 170702168 341404336