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343144322040 = 2335131712939077
BaseRepresentation
bin1001111111001001111…
…11101101001111111000
31012210201022120200012110
410333210333231033320
521110224421301130
6421345513412320
733535302416652
oct4774477551770
91183638520173
10343144322040
11122588029aa3
125660640a0a0
1326487457050
14128731636d2
158dd5246ab0
hex4fe4fed3f8

343144322040 has 128 divisors (see below), whose sum is σ = 1173833156160. Its totient is φ = 79497682944.

The previous prime is 343144322029. The next prime is 343144322047. The reversal of 343144322040 is 40223441343.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 343144321989 and 343144322007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343144322047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6443019 + ... + 6496058.

Almost surely, 2343144322040 is an apocalyptic number.

343144322040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343144322040 is an abundant number, since it is smaller than the sum of its proper divisors (830688834120).

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

343144322040 is a wasteful number, since it uses less digits than its factorization.

343144322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939121 (or 12939117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 343144322040 its reverse (40223441343), we get a palindrome (383367763383).

The spelling of 343144322040 in words is "three hundred forty-three billion, one hundred forty-four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 12939077 25878154 38817231 51756308 64695385 77634462 103512616 129390770 155268924 168208001 194086155 219964309 258781540 310537848 336416002 388172310 439928618 504624003 517563080 659892927 672832004 776344620 841040005 879857236 1009248006 1099821545 1319785854 1345664008 1552689240 1682080010 1759714472 2018496012 2199643090 2523120015 2639571708 2859536017 3299464635 3364160020 4036992024 4399286180 5046240030 5279143416 5719072034 6598929270 6728320040 8578608051 8798572360 10092480060 11438144068 13197858540 14297680085 17157216102 20184960120 22876288136 26395717080 28595360170 34314432204 42893040255 57190720340 68628864408 85786080510 114381440680 171572161020 343144322040