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341142240 = 2535710713
BaseRepresentation
bin10100010101010…
…110101011100000
3212202220211011210
4110111112223200
51144313022430
653503510120
711311442535
oct2425265340
9782824153
10341142240
1116562523a
12962b8340
13558a451a
1433442d8c
151ee392b0
hex14556ae0

341142240 has 48 divisors (see below), whose sum is σ = 1074599568. Its totient is φ = 90971136.

The previous prime is 341142229. The next prime is 341142253. The reversal of 341142240 is 42241143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 354877 + ... + 355836.

It is an arithmetic number, because the mean of its divisors is an integer number (22387491).

Almost surely, 2341142240 is an apocalyptic number.

341142240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341142240 is an abundant number, since it is smaller than the sum of its proper divisors (733457328).

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

341142240 is a wasteful number, since it uses less digits than its factorization.

341142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710731 (or 710723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 341142240 is about 18470.0362750050. The cubic root of 341142240 is about 698.7339291600.

Adding to 341142240 its reverse (42241143), we get a palindrome (383383383).

The spelling of 341142240 in words is "three hundred forty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 710713 1421426 2132139 2842852 3553565 4264278 5685704 7107130 8528556 10660695 11371408 14214260 17057112 21321390 22742816 28428520 34114224 42642780 56857040 68228448 85285560 113714080 170571120 341142240