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208874340 = 223251160413
BaseRepresentation
bin11000111001100…
…10101101100100
3112120000220201200
430130302231210
5411432434330
632420522500
75114255043
oct1434625544
9476026650
10208874340
11a79a4424
1259b50430
13343736ac
141da5255a
151350da60
hexc732b64

208874340 has 36 divisors (see below), whose sum is σ = 633586044. Its totient is φ = 55699776.

The previous prime is 208874333. The next prime is 208874357. The reversal of 208874340 is 43478802.

208874340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 163635264 + 45239076 = 12792^2 + 6726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 208874295 and 208874304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580027 + ... + 580386.

Almost surely, 2208874340 is an apocalyptic number.

208874340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208874340 is an abundant number, since it is smaller than the sum of its proper divisors (424711704).

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

208874340 is a wasteful number, since it uses less digits than its factorization.

208874340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160428 (or 1160423 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 208874340 is about 14452.4855993701. The cubic root of 208874340 is about 593.3282546662.

The spelling of 208874340 in words is "two hundred eight million, eight hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1160413 2320826 3481239 4641652 5802065 6962478 10443717 11604130 13924956 17406195 20887434 23208260 34812390 41774868 52218585 69624780 104437170 208874340