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211304340 = 2232513731237
BaseRepresentation
bin11001001100000…
…11111110010100
3112201121101001200
430212003332110
5413043214330
632544552500
75144025432
oct1446037624
9481541050
10211304340
11a9304095
125a922730
1334a14770
14200c5d52
151383da60
hexc983f94

211304340 has 144 divisors (see below), whose sum is σ = 700282128. Its totient is φ = 51259392.

The previous prime is 211304323. The next prime is 211304341. The reversal of 211304340 is 43403112.

211304340 is a `hidden beast` number, since 21 + 1 + 304 + 340 = 666.

211304340 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 8 ways, for example, as 2039184 + 209265156 = 1428^2 + 14466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211304341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170202 + ... + 171438.

Almost surely, 2211304340 is an apocalyptic number.

211304340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350141064).

211304340 is an abundant number, since it is smaller than the sum of its proper divisors (488977788).

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

211304340 is a wasteful number, since it uses less digits than its factorization.

211304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 211304340 is about 14536.3110863795. The cubic root of 211304340 is about 595.6202744625.

Adding to 211304340 its reverse (43403112), we get a palindrome (254707452).

The spelling of 211304340 in words is "two hundred eleven million, three hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1237 1314 1460 1898 2190 2340 2474 2628 2847 3285 3711 3796 4380 4745 4948 5694 6185 6570 7422 8541 9490 11133 11388 12370 13140 14235 14844 16081 17082 18555 18980 22266 24740 28470 32162 34164 37110 42705 44532 48243 55665 56940 64324 74220 80405 85410 90301 96486 111330 144729 160810 170820 180602 192972 222660 241215 270903 289458 321620 361204 451505 482430 541806 578916 723645 812709 903010 964860 1083612 1173913 1354515 1447290 1625418 1806020 2347826 2709030 2894580 3250836 3521739 4063545 4695652 5418060 5869565 7043478 8127090 10565217 11739130 14086956 16254180 17608695 21130434 23478260 35217390 42260868 52826085 70434780 105652170 211304340