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340378100 = 225229311617
BaseRepresentation
bin10100010010011…
…100000111110100
3212201110222222022
4110102130013310
51144114044400
653435252312
711302110656
oct2422340764
9781428868
10340378100
11165153117
1295baa098
135569777a
14332c46d6
151ed37b85
hex1449c1f4

340378100 has 36 divisors (see below), whose sum is σ = 741205164. Its totient is φ = 135674880.

The previous prime is 340378091. The next prime is 340378111. The reversal of 340378100 is 1873043.

It can be written as a sum of positive squares in 6 ways, for example, as 1008016 + 339370084 = 1004^2 + 18422^2 .

It is a super-2 number, since 2×3403781002 = 231714501919220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340378100.

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 11 ways as a sum of consecutive naturals, for example, 23492 + ... + 35108.

Almost surely, 2340378100 is an apocalyptic number.

It is an amenable number.

340378100 is an abundant number, since it is smaller than the sum of its proper divisors (400827064).

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

340378100 is a wasteful number, since it uses less digits than its factorization.

340378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 340378100 is about 18449.3387415376. The cubic root of 340378100 is about 698.2118305188.

The spelling of 340378100 in words is "three hundred forty million, three hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 5860 7325 11617 14650 23234 29300 46468 58085 116170 232340 290425 580850 1161700 3403781 6807562 13615124 17018905 34037810 68075620 85094525 170189050 340378100