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341410320 = 243251727893
BaseRepresentation
bin10100010110011…
…000001000010000
3212210102102220200
4110112120020100
51144400112240
653513335200
711313640236
oct2426301020
9783372820
10341410320
11165798699
1296407500
1355969554
14334b2956
151ee8d930
hex14598210

341410320 has 120 divisors (see below), whose sum is σ = 1214058456. Its totient is φ = 85684224.

The previous prime is 341410309. The next prime is 341410331. The reversal of 341410320 is 23014143.

341410320 is a `hidden beast` number, since 341 + 4 + 1 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (341410309) and next prime (341410331).

It can be written as a sum of positive squares in 4 ways, for example, as 192765456 + 148644864 = 13884^2 + 12192^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3414103202 = 233122013205004800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 341410293 and 341410302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707 + ... + 26186.

Almost surely, 2341410320 is an apocalyptic number.

341410320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607029228).

341410320 is an abundant number, since it is smaller than the sum of its proper divisors (872648136).

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

341410320 is a wasteful number, since it uses less digits than its factorization.

341410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27929 (or 27920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341410320 is about 18477.2920093828. The cubic root of 341410320 is about 698.9169100643.

Adding to 341410320 its reverse (23014143), we get a palindrome (364424463).

The spelling of 341410320 in words is "three hundred forty-one million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 27893 55786 83679 111572 139465 167358 223144 251037 278930 334716 418395 446288 474181 502074 557860 669432 836790 948362 1004148 1115720 1255185 1338864 1422543 1673580 1896724 2008296 2231440 2370905 2510370 2845086 3347160 3793448 4016592 4267629 4741810 5020740 5690172 6694320 7112715 7586896 8535258 9483620 10041480 11380344 14225430 17070516 18967240 20082960 21338145 22760688 28450860 34141032 37934480 42676290 56901720 68282064 85352580 113803440 170705160 341410320