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341881344 = 293373533
BaseRepresentation
bin10100011000001…
…011001000000000
3212211022101001000
4110120023020000
51200010200334
653531412000
711320641420
oct2430131000
9784271030
10341881344
11165a8a572
12965b4000
1355aa2a6c
1433596480
1520033299
hex1460b200

341881344 has 160 divisors (see below), whose sum is σ = 1156890240. Its totient is φ = 97652736.

The previous prime is 341881313. The next prime is 341881349. The reversal of 341881344 is 443188143.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 341881299 and 341881308.

It is not an unprimeable number, because it can be changed into a prime (341881349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95002 + ... + 98534.

It is an arithmetic number, because the mean of its divisors is an integer number (7230564).

Almost surely, 2341881344 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 341881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578445120).

341881344 is an abundant number, since it is smaller than the sum of its proper divisors (815008896).

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

341881344 is an equidigital number, since it uses as much as digits as its factorization.

341881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3545 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 341881344 is about 18490.0336397747. The cubic root of 341881344 is about 699.2381807266.

It can be divided in two parts, 341881 and 344, that added together give a square (342225 = 5852).

The spelling of 341881344 in words is "three hundred forty-one million, eight hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3533 3584 4032 4608 5376 6048 6912 7066 8064 10599 10752 12096 13824 14132 16128 21198 24192 24731 28264 31797 32256 42396 48384 49462 56528 63594 74193 84792 95391 96768 98924 113056 127188 148386 169584 190782 197848 222579 226112 254376 296772 339168 381564 395696 445158 452224 508752 593544 667737 678336 763128 791392 890316 904448 1017504 1187088 1335474 1356672 1526256 1582784 1780632 1808896 2035008 2374176 2670948 2713344 3052512 3165568 3561264 4070016 4748352 5341896 5426688 6105024 6331136 7122528 8140032 9496704 10683792 12210048 12662272 14245056 16280064 18993408 21367584 24420096 28490112 37986816 42735168 48840192 56980224 85470336 113960448 170940672 341881344