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341959968 = 2534747401
BaseRepresentation
bin10100011000011…
…110010100100000
3212211110100220000
4110120132110200
51200020204333
653533220000
711321416560
oct2430362440
9784410800
10341959968
11166033649
1296631600
1355acc79c
14335b6da0
152004b713
hex1461e520

341959968 has 240 divisors, whose sum is σ = 1176747264. Its totient is φ = 95385600.

The previous prime is 341959949. The next prime is 341959979. The reversal of 341959968 is 869959143.

341959968 is a `hidden beast` number, since 3 + 41 + 9 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×3419599682 = 233873239429122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 852568 + ... + 852968.

Almost surely, 2341959968 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 341959968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588373632).

341959968 is an abundant number, since it is smaller than the sum of its proper divisors (834787296).

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

341959968 is a wasteful number, since it uses less digits than its factorization.

341959968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 341959968 is about 18492.1596359106. The cubic root of 341959968 is about 699.2917789411.

The spelling of 341959968 in words is "three hundred forty-one million, nine hundred fifty-nine thousand, nine hundred sixty-eight".