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3213244240 = 2453110712109
BaseRepresentation
bin1011111110000110…
…0011011101010000
322021221021201102221
42333201203131100
523040042303430
61250502550424
7142425061003
oct27741433520
98257251387
103213244240
1113a9879a58
12758138414
133c2927c6b
14226a7553a
1513c16757a
hexbf863750

3213244240 has 80 divisors (see below), whose sum is σ = 7784501760. Its totient is φ = 1232110080.

The previous prime is 3213244207. The next prime is 3213244249. The reversal of 3213244240 is 424423123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213244249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259306 + ... + 271414.

It is an arithmetic number, because the mean of its divisors is an integer number (97306272).

Almost surely, 23213244240 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 3213244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892250880).

3213244240 is an abundant number, since it is smaller than the sum of its proper divisors (4571257520).

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

3213244240 is a wasteful number, since it uses less digits than its factorization.

3213244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3213244240 is about 56685.4852673945. The cubic root of 3213244240 is about 1475.6428093547.

Adding to 3213244240 its reverse (424423123), we get a palindrome (3637667363).

The spelling of 3213244240 in words is "three billion, two hundred thirteen million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 107 124 155 214 248 310 428 496 535 620 856 1070 1240 1712 2140 2480 3317 4280 6634 8560 12109 13268 16585 24218 26536 33170 48436 53072 60545 66340 96872 121090 132680 193744 242180 265360 375379 484360 750758 968720 1295663 1501516 1876895 2591326 3003032 3753790 5182652 6006064 6478315 7507580 10365304 12956630 15015160 20730608 25913260 30030320 40165553 51826520 80331106 103653040 160662212 200827765 321324424 401655530 642648848 803311060 1606622120 3213244240