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10343114340 = 22351321079533
BaseRepresentation
bin10011010000111111…
…10110011001100100
3222200211101122111220
421220133312121210
5132140314124330
64430200500340
7514212010206
oct115037663144
928624348456
1010343114340
114428466989
122007a7a6b0
13c8ab02500
1470195a776
15408086710
hex2687f6664

10343114340 has 144 divisors (see below), whose sum is σ = 31656235968. Its totient is φ = 2521938432.

The previous prime is 10343114293. The next prime is 10343114359. The reversal of 10343114340 is 4341134301.

It is a self number, because there is not a number n which added to its sum of digits gives 10343114340.

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, 1080214 + ... + 1089746.

It is an arithmetic number, because the mean of its divisors is an integer number (219834972).

Almost surely, 210343114340 is an apocalyptic number.

10343114340 is a gapful number since it is divisible by the number (10) 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 10343114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828117984).

10343114340 is an abundant number, since it is smaller than the sum of its proper divisors (21313121628).

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

10343114340 is a wasteful number, since it uses less digits than its factorization.

10343114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343114340 its reverse (4341134301), we get a palindrome (14684248641).

The spelling of 10343114340 in words is "ten billion, three hundred forty-three million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 169 195 214 260 321 338 390 428 507 535 642 676 780 845 1014 1070 1284 1391 1605 1690 2028 2140 2535 2782 3210 3380 4173 5070 5564 6420 6955 8346 9533 10140 13910 16692 18083 19066 20865 27820 28599 36166 38132 41730 47665 54249 57198 72332 83460 90415 95330 108498 114396 123929 142995 180830 190660 216996 247858 271245 285990 361660 371787 495716 542490 571980 619645 743574 1020031 1084980 1239290 1487148 1611077 1858935 2040062 2478580 3060093 3222154 3717870 4080124 4833231 5100155 6120186 6444308 7435740 8055385 9666462 10200310 12240372 13260403 15300465 16110770 19332924 20400620 24166155 26520806 30600930 32221540 39781209 48332310 53041612 61201860 66302015 79562418 96664620 132604030 159124836 172385239 198906045 265208060 344770478 397812090 517155717 689540956 795624180 861926195 1034311434 1723852390 2068622868 2585778585 3447704780 5171557170 10343114340