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11342403400 = 2352171929241
BaseRepresentation
bin10101001000000111…
…10101011101001000
31002021110201210101211
422210003311131020
5141212123402100
65113255022504
7551034560326
oct124403653510
932243653354
1011342403400
1148a0544609
12224666aa34
1310b9b50c03
14798560d16
15465b771ba
hex2a40f5748

11342403400 has 144 divisors (see below), whose sum is σ = 29472460740. Its totient is φ = 4044902400.

The previous prime is 11342403301. The next prime is 11342403403. The reversal of 11342403400 is 430424311.

It can be written as a sum of positive squares in 6 ways, for example, as 9294116836 + 2048286564 = 96406^2 + 45258^2 .

It is a super-2 number, since 2×113424034002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11342403403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222780 + ... + 1232020.

Almost surely, 211342403400 is an apocalyptic number.

11342403400 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 11342403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736230370).

11342403400 is an abundant number, since it is smaller than the sum of its proper divisors (18130057340).

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

11342403400 is a wasteful number, since it uses less digits than its factorization.

11342403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11342403400 its reverse (430424311), we get a palindrome (11772827711).

The spelling of 11342403400 in words is "eleven billion, three hundred forty-two million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 361 380 425 475 646 680 722 760 850 950 1292 1444 1615 1700 1805 1900 2584 2888 3230 3400 3610 3800 6137 6460 7220 8075 9025 9241 12274 12920 14440 16150 18050 18482 24548 30685 32300 36100 36964 46205 49096 61370 64600 72200 73928 92410 122740 153425 157097 175579 184820 231025 245480 306850 314194 351158 369640 462050 613700 628388 702316 785485 877895 924100 1227400 1256776 1404632 1570970 1755790 1848200 2984843 3141940 3336001 3511580 3927425 4389475 5969686 6283880 6672002 7023160 7854850 8778950 11939372 13344004 14924215 15709700 16680005 17557900 23878744 26688008 29848430 31419400 33360010 35115800 56712017 59696860 66720020 74621075 83400025 113424034 119393720 133440040 149242150 166800050 226848068 283560085 298484300 333600100 453696136 567120170 596968600 667200200 1134240340 1417800425 2268480680 2835600850 5671201700 11342403400