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342131000300 = 225229505123357
BaseRepresentation
bin1001111101010001001…
…10001100001111101100
31012201002200211121002122
410332220212030033230
521101141014002200
6421101154412112
733501216343115
oct4765046141754
91181080747078
10342131000300
11122108037411
1256382b91038
132635553439b
14127b874920c
158d762d3385
hex4fa898c3ec

342131000300 has 72 divisors (see below), whose sum is σ = 768210050160. Its totient is φ = 132101536000.

The previous prime is 342131000279. The next prime is 342131000359. The reversal of 342131000300 is 3000131243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14636222 + ... + 14659578.

It is an arithmetic number, because the mean of its divisors is an integer number (10669584030).

Almost surely, 2342131000300 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 342131000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384105025080).

342131000300 is an abundant number, since it is smaller than the sum of its proper divisors (426079049860).

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

342131000300 is a wasteful number, since it uses less digits than its factorization.

342131000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28451 (or 28444 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 342131000300 its reverse (3000131243), we get a palindrome (345131131543).

The spelling of 342131000300 in words is "three hundred forty-two billion, one hundred thirty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 5051 10102 20204 23357 25255 46714 50510 93428 101020 116785 126275 146479 233570 252550 292958 467140 505100 583925 585916 677353 732395 1167850 1354706 1464790 2335700 2709412 2929580 3386765 3661975 6773530 7323950 13547060 14647900 16933825 33867650 67735300 117976207 235952414 471904828 589881035 1179762070 2359524140 2949405175 3421310003 5898810350 6842620006 11797620700 13685240012 17106550015 34213100030 68426200060 85532750075 171065500150 342131000300