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341311104 = 2733611619
BaseRepresentation
bin10100010101111…
…111111010000000
3212210020101211000
4110111333322000
51144333423404
653511252000
711313045051
oct2425777200
9783211730
10341311104
111657300a2
129637a000
1355933344
1433488728
151ee6e339
hex1457fe80

341311104 has 128 divisors (see below), whose sum is σ = 1024488000. Its totient is φ = 111836160.

The previous prime is 341311097. The next prime is 341311109. The reversal of 341311104 is 401113143.

341311104 is a `hidden beast` number, since 341 + 311 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (341311109) 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, 210007 + ... + 211625.

Almost surely, 2341311104 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 341311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

341311104 is an abundant number, since it is smaller than the sum of its proper divisors (683176896).

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

341311104 is a wasteful number, since it uses less digits than its factorization.

341311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 341311104 is about 18474.6070052924. The cubic root of 341311104 is about 698.8492002789.

Adding to 341311104 its reverse (401113143), we get a palindrome (742424247).

The spelling of 341311104 in words is "three hundred forty-one million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1619 1647 1728 1952 2196 2928 3238 3294 3456 3904 4392 4857 5856 6476 6588 7808 8784 9714 11712 12952 13176 14571 17568 19428 23424 25904 26352 29142 35136 38856 43713 51808 52704 58284 70272 77712 87426 98759 103616 105408 116568 155424 174852 197518 207232 210816 233136 296277 310848 349704 395036 466272 592554 621696 699408 790072 888831 932544 1185108 1398816 1580144 1777662 1865088 2370216 2666493 2797632 3160288 3555324 4740432 5332986 5595264 6320576 7110648 9480864 10665972 12641152 14221296 18961728 21331944 28442592 37923456 42663888 56885184 85327776 113770368 170655552 341311104