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3214311540 = 2235118954721
BaseRepresentation
bin1011111110010110…
…1000000001110100
322022000021221111120
42333211220001310
523040330432130
61250541503540
7142440124446
oct27745500164
98260257446
103214311540
1113aa438920
12758571bb0
133c2c0c9bb
14226c72496
1513c2c8910
hexbf968074

3214311540 has 96 divisors (see below), whose sum is σ = 9928759680. Its totient is φ = 770457600.

The previous prime is 3214311521. The next prime is 3214311557. The reversal of 3214311540 is 451134123.

It is a happy number.

3214311540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3214311540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31380 + ... + 86100.

It is an arithmetic number, because the mean of its divisors is an integer number (103424580).

Almost surely, 23214311540 is an apocalyptic number.

3214311540 is a gapful number since it is divisible by the number (30) 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 3214311540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964379840).

3214311540 is an abundant number, since it is smaller than the sum of its proper divisors (6714448140).

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

3214311540 is a wasteful number, since it uses less digits than its factorization.

3214311540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54833 (or 54831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3214311540 is about 56694.8987123180. The cubic root of 3214311540 is about 1475.8061727250.

Adding to 3214311540 its reverse (451134123), we get a palindrome (3665445663).

The spelling of 3214311540 in words is "three billion, two hundred fourteen million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 54721 58740 109442 164163 218884 273605 328326 547210 601931 656652 820815 1094420 1203862 1641630 1805793 2407724 3009655 3283260 3611586 4870169 6019310 7223172 9028965 9740338 12038620 14610507 18057930 19480676 24350845 29221014 36115860 48701690 53571859 58442028 73052535 97403380 107143718 146105070 160715577 214287436 267859295 292210140 321431154 535718590 642862308 803577885 1071437180 1607155770 3214311540