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211431344 = 24294310597
BaseRepresentation
bin11001001101000…
…10111110110000
3112201211211021112
430212202332300
5413111300334
632551412452
75145064625
oct1446427660
9481754245
10211431344
11a9390553
125a984128
1334a5a507
142011a34c
15138664ce
hexc9a2fb0

211431344 has 40 divisors (see below), whose sum is σ = 433670160. Its totient is φ = 99687168.

The previous prime is 211431317. The next prime is 211431347. The reversal of 211431344 is 443134112.

211431344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211431347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14654 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (10841754).

Almost surely, 2211431344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216835080).

211431344 is an abundant number, since it is smaller than the sum of its proper divisors (222238816).

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

211431344 is a wasteful number, since it uses less digits than its factorization.

211431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10671 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 211431344 is about 14540.6789387566. The cubic root of 211431344 is about 595.7395826394.

Adding to 211431344 its reverse (443134112), we get a palindrome (654565456).

The spelling of 211431344 in words is "two hundred eleven million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 1247 2494 4988 9976 10597 19952 21194 42388 84776 169552 307313 455671 614626 911342 1229252 1822684 2458504 3645368 4917008 7290736 13214459 26428918 52857836 105715672 211431344