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341000442 = 2351016947
BaseRepresentation
bin10100010100110…
…100000011111010
3212202122121200000
4110110310003322
51144244003232
653500453430
711310312246
oct2424640372
9782577600
10341000442
11165538752
129624a276
1355854b13
1433407426
151ee0c27c
hex145340fa

341000442 has 48 divisors (see below), whose sum is σ = 773896032. Its totient is φ = 112525200.

The previous prime is 341000441. The next prime is 341000459. The reversal of 341000442 is 244000143.

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

It is not an unprimeable number, because it can be changed into a prime (341000441) 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 23 ways as a sum of consecutive naturals, for example, 45613 + ... + 52559.

It is an arithmetic number, because the mean of its divisors is an integer number (16122834).

Almost surely, 2341000442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341000442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386948016).

341000442 is an abundant number, since it is smaller than the sum of its proper divisors (432895590).

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

341000442 is a wasteful number, since it uses less digits than its factorization.

341000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 341000442 is about 18466.1972804365. The cubic root of 341000442 is about 698.6371046365.

Adding to 341000442 its reverse (244000143), we get a palindrome (585000585).

The spelling of 341000442 in words is "three hundred forty-one million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2727 5454 6947 8181 13894 16362 20841 24543 41682 49086 62523 125046 187569 375138 562707 701647 1125414 1403294 1688121 2104941 3376242 4209882 6314823 12629646 18944469 37888938 56833407 113666814 170500221 341000442