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341880100 = 2252434
BaseRepresentation
bin10100011000001…
…010110100100100
3212211022022022221
4110120022310210
51200010130400
653531402124
711320634662
oct2430126444
9784268287
10341880100
11165a89641
12965b3344
1355aa2323
1433595c32
1520032c1a
hex1460ad24

341880100 has 45 divisors (see below), whose sum is σ = 759543617. Its totient is φ = 133571760.

The previous prime is 341880083. The next prime is 341880127. The reversal of 341880100 is 1088143.

The square root of 341880100 is 18490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 123076836 + 218803264 = 11094^2 + 14792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 7950679 + ... + 7950721.

Almost surely, 2341880100 is an apocalyptic number.

341880100 is the 18490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341880100

341880100 is an abundant number, since it is smaller than the sum of its proper divisors (417663517).

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

341880100 is an frugal number, since it uses more digits than its factorization.

341880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The cubic root of 341880100 is about 699.2373326220.

Multiplying 341880100 by its sum of digits (25), we get a square (8547002500 = 924502).

341880100 divided by its sum of digits (25) gives a square (13675204 = 36982).

The spelling of 341880100 in words is "three hundred forty-one million, eight hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1849 2150 3698 4300 7396 9245 18490 36980 46225 79507 92450 159014 184900 318028 397535 795070 1590140 1987675 3418801 3975350 6837602 7950700 13675204 17094005 34188010 68376020 85470025 170940050 341880100