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341361000 = 23335347269
BaseRepresentation
bin10100010110001…
…100000101101000
3212210022221021000
4110112030011220
51144342023000
653512315000
711313343401
oct2426140550
9783287230
10341361000
11165764632
12963a2a60
135594cc76
143349c9a8
151ee7e000
hex1458c168

341361000 has 256 divisors, whose sum is σ = 1213056000. Its totient is φ = 88761600.

The previous prime is 341360993. The next prime is 341361017. The reversal of 341361000 is 163143.

It is a super-3 number, since 3×3413610003 (a number of 27 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1268866 + ... + 1269134.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2341361000 is an apocalyptic number.

341361000 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 341361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528000).

341361000 is an abundant number, since it is smaller than the sum of its proper divisors (871695000).

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

341361000 is a wasteful number, since it uses less digits than its factorization.

341361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 341361000 is about 18475.9573500265. The cubic root of 341361000 is about 698.8832533567.

The spelling of 341361000 in words is "three hundred forty-one million, three hundred sixty-one thousand".