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212376340 = 225111795393
BaseRepresentation
bin11001010100010…
…01101100010100
3112210121211120101
430222021230110
5413332020330
633023543444
75156112001
oct1452115424
9483554511
10212376340
11a9976540
125b15ab84
1334ccb697
14202c48a8
15139a14ca
hexca89b14

212376340 has 48 divisors (see below), whose sum is σ = 489343680. Its totient is φ = 76782080.

The previous prime is 212376331. The next prime is 212376343. The reversal of 212376340 is 43673212.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 212376299 and 212376308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212376343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36684 + ... + 42076.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2212376340 is an apocalyptic number.

212376340 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 212376340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244671840).

212376340 is an abundant number, since it is smaller than the sum of its proper divisors (276967340).

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

212376340 is a wasteful number, since it uses less digits than its factorization.

212376340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 212376340 is about 14573.1376168621. The cubic root of 212376340 is about 596.6258196742.

The spelling of 212376340 in words is "two hundred twelve million, three hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 5393 7876 9845 10786 19690 21572 26965 39380 53930 59323 107860 118646 237292 296615 593230 965347 1186460 1930694 3861388 4826735 9653470 10618817 19306940 21237634 42475268 53094085 106188170 212376340