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3312114240 = 263513924821
BaseRepresentation
bin1100010101101010…
…1101101001000000
322112211022211120210
43011122231221000
523240400123430
61304354034120
7145035335511
oct30532555100
98484284523
103312114240
11144a6694a6
12785278940
1340a264316
14235c50a08
15145b972b0
hexc56ada40

3312114240 has 112 divisors (see below), whose sum is σ = 10592043840. Its totient is φ = 876840960.

The previous prime is 3312114227. The next prime is 3312114269. The reversal of 3312114240 is 424112133.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121030 + ... + 145850.

It is an arithmetic number, because the mean of its divisors is an integer number (94571820).

Almost surely, 23312114240 is an apocalyptic number.

3312114240 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 3312114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296021920).

3312114240 is an abundant number, since it is smaller than the sum of its proper divisors (7279929600).

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

3312114240 is a wasteful number, since it uses less digits than its factorization.

3312114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 24970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3312114240 is about 57550.9707998049. The cubic root of 3312114240 is about 1490.6251209384.

Adding to 3312114240 its reverse (424112133), we get a palindrome (3736226373).

The spelling of 3312114240 in words is "three billion, three hundred twelve million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 22240 24821 26688 33360 44480 49642 66720 74463 99284 124105 133440 148926 198568 248210 297852 372315 397136 496420 595704 744630 794272 992840 1191408 1489260 1588544 1985680 2382816 2978520 3450119 3971360 4765632 5957040 6900238 7942720 10350357 11914080 13800476 17250595 20700714 23828160 27600952 34501190 41401428 51751785 55201904 69002380 82802856 103503570 110403808 138004760 165605712 207007140 220807616 276009520 331211424 414014280 552019040 662422848 828028560 1104038080 1656057120 3312114240