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342109300 = 225213972713
BaseRepresentation
bin10100011001000…
…010110001110100
3212211201221201211
4110121002301310
51200034444200
653540331204
711322611131
oct2431026164
9784657654
10342109300
11166125865
12966a3b04
1355b52750
1433615588
152007aaba
hex14642c74

342109300 has 72 divisors (see below), whose sum is σ = 808022936. Its totient is φ = 124968960.

The previous prime is 342109297. The next prime is 342109301. The reversal of 342109300 is 3901243.

It can be written as a sum of positive squares in 12 ways, for example, as 56972304 + 285136996 = 7548^2 + 16886^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342109301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124744 + ... + 127456.

Almost surely, 2342109300 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 342109300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404011468).

342109300 is an abundant number, since it is smaller than the sum of its proper divisors (465913636).

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

342109300 is a wasteful number, since it uses less digits than its factorization.

342109300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 342109300 is about 18496.1969063913. The cubic root of 342109300 is about 699.3935563932.

The spelling of 342109300 in words is "three hundred forty-two million, one hundred nine thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 2713 4850 5044 5426 6305 9700 10852 12610 13565 25220 27130 31525 35269 54260 63050 67825 70538 126100 135650 141076 176345 263161 271300 352690 526322 705380 881725 1052644 1315805 1763450 2631610 3421093 3526900 5263220 6579025 6842186 13158050 13684372 17105465 26316100 34210930 68421860 85527325 171054650 342109300