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340143610620 = 2235112428310939
BaseRepresentation
bin1001111001100100010…
…00111001101011111100
31012111222012012201222110
410330302020321223330
521033103231014440
6420132042014020
733401034662112
oct4746210715374
91174865181873
10340143610620
11121288223100
1255b094a7310
13260c9883a68
141266a813ab2
158cabab2080
hex4f32239afc

340143610620 has 144 divisors (see below), whose sum is σ = 1047195354240. Its totient is φ = 82432268160.

The previous prime is 340143610607. The next prime is 340143610657. The reversal of 340143610620 is 26016341043.

It is a super-2 number, since 2×3401436106202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31089111 + ... + 31100049.

It is an arithmetic number, because the mean of its divisors is an integer number (7272189960).

Almost surely, 2340143610620 is an apocalyptic number.

340143610620 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 340143610620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523597677120).

340143610620 is an abundant number, since it is smaller than the sum of its proper divisors (707051743620).

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

340143610620 is a wasteful number, since it uses less digits than its factorization.

340143610620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 340143610620 its reverse (26016341043), we get a palindrome (366159951663).

The spelling of 340143610620 in words is "three hundred forty billion, one hundred forty-three million, six hundred ten thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 4283 7260 8566 10939 12849 17132 21415 21878 25698 32817 42830 43756 47113 51396 54695 64245 65634 85660 94226 109390 120329 128490 131268 141339 164085 188452 218780 235565 240658 256980 282678 328170 360987 471130 481316 518243 565356 601645 656340 706695 721974 942260 1036486 1203290 1323619 1413390 1443948 1554729 1804935 2072972 2406580 2591215 2647238 2826780 3109458 3609870 3970857 5182430 5294476 6218916 6618095 7219740 7773645 7941714 10364860 13236190 15547290 15883428 19854285 26472380 31094580 39708570 46851737 79417140 93703474 140555211 187406948 234258685 281110422 468517370 515369107 562220844 702776055 937034740 1030738214 1405552110 1546107321 2061476428 2576845535 2811104220 3092214642 5153691070 5669060177 6184429284 7730536605 10307382140 11338120354 15461073210 17007180531 22676240708 28345300885 30922146420 34014361062 56690601770 68028722124 85035902655 113381203540 170071805310 340143610620