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341412672 = 26319313019
BaseRepresentation
bin10100010110011…
…000101101000000
3212210102120010210
4110112120231000
51144400201142
653513354120
711313650136
oct2426305500
9783376123
10341412672
1116579a437
1296408940
135596a643
14334b3756
151ee8e49c
hex14598b40

341412672 has 112 divisors (see below), whose sum is σ = 981862400. Its totient is φ = 104302080.

The previous prime is 341412619. The next prime is 341412677. The reversal of 341412672 is 276214143.

341412672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414126722 = 233125225204359168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341412677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111579 + ... + 114597.

Almost surely, 2341412672 is an apocalyptic number.

341412672 is a gapful number since it is divisible by the number (32) 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 341412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490931200).

341412672 is an abundant number, since it is smaller than the sum of its proper divisors (640449728).

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

341412672 is a wasteful number, since it uses less digits than its factorization.

341412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3074 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 341412672 is about 18477.3556549632. The cubic root of 341412672 is about 698.9185150234.

The spelling of 341412672 in words is "three hundred forty-one million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3019 3534 3648 4712 5952 6038 7068 9057 9424 12076 14136 18114 18848 24152 28272 36228 37696 48304 56544 57361 72456 93589 96608 113088 114722 144912 172083 187178 193216 229444 280767 289824 344166 374356 458888 561534 579648 688332 748712 917776 1123068 1376664 1497424 1778191 1835552 2246136 2753328 2994848 3556382 3671104 4492272 5334573 5506656 5989696 7112764 8984544 10669146 11013312 14225528 17969088 21338292 28451056 42676584 56902112 85353168 113804224 170706336 341412672