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341508096 = 21633193
BaseRepresentation
bin10100010110110…
…000000000000000
3212210121102001000
4110112300000000
51144411224341
653515412000
711314525266
oct2426600000
9783542030
10341508096
111658550a6
1296454000
13559a1bc7
14334da436
151eeac8b6
hex145b0000

341508096 has 136 divisors (see below), whose sum is σ = 1017110960. Its totient is φ = 113246208.

The previous prime is 341508077. The next prime is 341508103. The reversal of 341508096 is 690805143.

It is a super-3 number, since 3×3415080963 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 341508096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769376 + ... + 1769568.

Almost surely, 2341508096 is an apocalyptic number.

341508096 is a gapful number since it is divisible by the number (36) 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 341508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508555480).

341508096 is an abundant number, since it is smaller than the sum of its proper divisors (675602864).

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

341508096 is an frugal number, since it uses more digits than its factorization.

341508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 341508096 is about 18479.9376622325. The cubic root of 341508096 is about 698.9836242917.

The spelling of 341508096 in words is "three hundred forty-one million, five hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 256 288 384 386 432 512 576 579 768 772 864 1024 1152 1158 1536 1544 1728 1737 2048 2304 2316 3072 3088 3456 3474 4096 4608 4632 5211 6144 6176 6912 6948 8192 9216 9264 10422 12288 12352 13824 13896 16384 18432 18528 20844 24576 24704 27648 27792 32768 36864 37056 41688 49152 49408 55296 55584 65536 73728 74112 83376 98304 98816 110592 111168 147456 148224 166752 196608 197632 221184 222336 294912 296448 333504 395264 442368 444672 589824 592896 667008 790528 884736 889344 1185792 1334016 1581056 1769472 1778688 2371584 2668032 3162112 3557376 4743168 5336064 6324224 7114752 9486336 10672128 12648448 14229504 18972672 21344256 28459008 37945344 42688512 56918016 85377024 113836032 170754048 341508096