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3442180740 = 22351721791109
BaseRepresentation
bin1100110100101011…
…1000001010000100
322212220001220021120
43031022320022010
524022144240430
61325321513540
7151205024235
oct31512701204
98786056246
103442180740
111507026379
128009428b0
1342b1a414b
1424922b08c
151522da610
hexcd2b8284

3442180740 has 144 divisors (see below), whose sum is σ = 10304884800. Its totient is φ = 858318848.

The previous prime is 3442180727. The next prime is 3442180741. The reversal of 3442180740 is 470812443.

It is not an unprimeable number, because it can be changed into a prime (3442180741) 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 47 ways as a sum of consecutive naturals, for example, 3103306 + ... + 3104414.

It is an arithmetic number, because the mean of its divisors is an integer number (71561700).

Almost surely, 23442180740 is an apocalyptic number.

3442180740 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 3442180740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152442400).

3442180740 is an abundant number, since it is smaller than the sum of its proper divisors (6862704060).

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

3442180740 is a wasteful number, since it uses less digits than its factorization.

3442180740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 3442180740 is about 58670.1009032710. The cubic root of 3442180740 is about 1509.8873854293.

The spelling of 3442180740 in words is "three billion, four hundred forty-two million, one hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 289 340 358 510 537 578 716 867 895 1020 1074 1109 1156 1445 1734 1790 2148 2218 2685 2890 3043 3327 3468 3580 4335 4436 5370 5545 5780 6086 6654 8670 9129 10740 11090 12172 13308 15215 16635 17340 18258 18853 22180 30430 33270 36516 37706 45645 51731 56559 60860 66540 75412 91290 94265 103462 113118 155193 182580 188530 198511 206924 226236 258655 282795 310386 320501 377060 397022 517310 565590 595533 620772 641002 775965 794044 961503 992555 1034620 1131180 1191066 1282004 1551930 1602505 1923006 1985110 2382132 2977665 3103860 3205010 3374687 3846012 3970220 4807515 5955330 6410020 6749374 9615030 10124061 11910660 13498748 16873435 19230060 20248122 33746870 40496244 50620305 57369679 67493740 101240610 114739358 172109037 202481220 229478716 286848395 344218074 573696790 688436148 860545185 1147393580 1721090370 3442180740