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213734241 = 3373133613
BaseRepresentation
bin11001011110101…
…01001101100001
3112220011211021000
430233111031201
5414203443431
633113022213
75203465620
oct1457251541
9486154230
10213734241
11aa713776
125b6b4969
1335385786
14205596b7
1513b6d9e6
hexcbd5361

213734241 has 32 divisors (see below), whose sum is σ = 363134720. Its totient is φ = 121709952.

The previous prime is 213734207. The next prime is 213734267. The reversal of 213734241 is 142437312.

It is a happy number.

It is not a de Polignac number, because 213734241 - 27 = 213734113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213734041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57351 + ... + 60963.

It is an arithmetic number, because the mean of its divisors is an integer number (11347960).

Almost surely, 2213734241 is an apocalyptic number.

213734241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213734241 is a deficient number, since it is larger than the sum of its proper divisors (149400479).

213734241 is a wasteful number, since it uses less digits than its factorization.

213734241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 213734241 is about 14619.6525608511. The cubic root of 213734241 is about 597.8946964685.

The spelling of 213734241 in words is "two hundred thirteen million, seven hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 313 939 2191 2817 3613 6573 8451 10839 19719 25291 32517 59157 75873 97551 227619 682857 1130869 3392607 7916083 10177821 23748249 30533463 71244747 213734241