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341301408 = 25371926731
BaseRepresentation
bin10100010101111…
…101100010100000
3212210012220111220
4110111331202200
51144333121113
653511135040
711313004560
oct2425754240
9783186456
10341301408
11165723888
1296374480
135592bac6
1433484da0
151ee6b523
hex1457d8a0

341301408 has 96 divisors (see below), whose sum is σ = 1077834240. Its totient is φ = 92378880.

The previous prime is 341301403. The next prime is 341301421. The reversal of 341301408 is 804103143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3413014082 = 232973302205564928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (341301403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598 + ... + 26133.

It is an arithmetic number, because the mean of its divisors is an integer number (11227440).

Almost surely, 2341301408 is an apocalyptic number.

341301408 is a gapful number since it is divisible by the number (38) 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 341301408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538917120).

341301408 is an abundant number, since it is smaller than the sum of its proper divisors (736532832).

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

341301408 is a wasteful number, since it uses less digits than its factorization.

341301408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26770 (or 26762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 341301408 is about 18474.3445891864. The cubic root of 341301408 is about 698.8425825569.

The spelling of 341301408 in words is "three hundred forty-one million, three hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 26731 53462 80193 106924 160386 187117 213848 320772 374234 427696 507889 561351 641544 748468 855392 1015778 1122702 1283088 1496936 1523667 2031556 2245404 2566176 2993872 3047334 3555223 4063112 4490808 5987744 6094668 7110446 8126224 8981616 10665669 12189336 14220892 16252448 17963232 21331338 24378672 28441784 42662676 48757344 56883568 85325352 113767136 170650704 341301408