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212736340 = 22513777641
BaseRepresentation
bin11001010111000…
…01100101010100
3112211022010101201
430223201211110
5413430030330
633035402244
75162141365
oct1453414524
9484263351
10212736340
11aa0a1a63
125b2b3384
13350c64bb
1420379b6c
1513a22eca
hexcae1954

212736340 has 24 divisors (see below), whose sum is σ = 450013032. Its totient is φ = 84472320.

The previous prime is 212736311. The next prime is 212736343. The reversal of 212736340 is 43637212.

It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 210714256 = 1422^2 + 14516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212736299 and 212736308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212736343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36081 + ... + 41560.

It is an arithmetic number, because the mean of its divisors is an integer number (18750543).

Almost surely, 2212736340 is an apocalyptic number.

212736340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212736340 is an abundant number, since it is smaller than the sum of its proper divisors (237276692).

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

212736340 is a wasteful number, since it uses less digits than its factorization.

212736340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77787 (or 77785 counting only the distinct ones).

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

The square root of 212736340 is about 14585.4838795290. The cubic root of 212736340 is about 596.9627436588.

The spelling of 212736340 in words is "two hundred twelve million, seven hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 77641 155282 310564 388205 776410 1552820 10636817 21273634 42547268 53184085 106368170 212736340