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10342412340 = 22351314838941
BaseRepresentation
bin10011010000111010…
…01011000000110100
3222200210001222112220
421220131023000310
5132140124143330
64430133442340
7514203024441
oct115035130064
928623058486
1010342412340
114428027517
1220077a03b0
13c8a917b20
147018169c8
15407e98710
hex26874b034

10342412340 has 96 divisors (see below), whose sum is σ = 31210870656. Its totient is φ = 2543823360.

The previous prime is 10342412273. The next prime is 10342412453. The reversal of 10342412340 is 4321424301.

It is a self number, because there is not a number n which added to its sum of digits gives 10342412340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152270 + ... + 1161210.

It is an arithmetic number, because the mean of its divisors is an integer number (325113236).

Almost surely, 210342412340 is an apocalyptic number.

10342412340 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 10342412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605435328).

10342412340 is an abundant number, since it is smaller than the sum of its proper divisors (20868458316).

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

10342412340 is a wasteful number, since it uses less digits than its factorization.

10342412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10342412340 its reverse (4321424301), we get a palindrome (14663836641).

The spelling of 10342412340 in words is "ten billion, three hundred forty-two million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1483 2966 4449 5932 7415 8898 8941 14830 17796 17882 19279 22245 26823 29660 35764 38558 44490 44705 53646 57837 77116 88980 89410 96395 107292 115674 116233 134115 178820 192790 231348 232466 268230 289185 348699 385580 464932 536460 578370 581165 697398 1156740 1162330 1394796 1743495 2324660 3486990 6973980 13259503 26519006 39778509 53038012 66297515 79557018 132595030 159114036 172373539 198892545 265190060 344747078 397785090 517120617 689494156 795570180 861867695 1034241234 1723735390 2068482468 2585603085 3447470780 5171206170 10342412340