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344122100 = 22527270229
BaseRepresentation
bin10100100000101…
…110001011110100
3212222112012202222
4110200232023310
51201043401400
654051421512
711345663300
oct2440561364
9788465688
10344122100
11167280033
12972b4898
13563a895a
14339bad00
1520327185
hex1482e2f4

344122100 has 54 divisors (see below), whose sum is σ = 868674870. Its totient is φ = 117983040.

The previous prime is 344122099. The next prime is 344122111. The reversal of 344122100 is 1221443.

It can be written as a sum of positive squares in 3 ways, for example, as 121396324 + 222725776 = 11018^2 + 14924^2 .

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 17 ways as a sum of consecutive naturals, for example, 30215 + ... + 40014.

Almost surely, 2344122100 is an apocalyptic number.

It is an amenable number.

344122100 is an abundant number, since it is smaller than the sum of its proper divisors (524552770).

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

344122100 is a wasteful number, since it uses less digits than its factorization.

344122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70257 (or 70243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 344122100 is about 18550.5282943640. The cubic root of 344122100 is about 700.7625024461.

Adding to 344122100 its reverse (1221443), we get a palindrome (345343543).

The spelling of 344122100 in words is "three hundred forty-four million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 70229 140458 280916 351145 491603 702290 983206 1404580 1755725 1966412 2458015 3441221 3511450 4916030 6882442 7022900 9832060 12290075 13764884 17206105 24580150 34412210 49160300 68824420 86030525 172061050 344122100