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10344341400 = 2335238634463
BaseRepresentation
bin10011010001001001…
…00001111110011000
3222200220200222201120
421220210201332120
5132141122411100
64430243045240
7514225310511
oct115044417630
928626628646
1010344341400
114429124888
122008370820
13c8b141b93
14701b99a08
1540822a0a0
hex268921f98

10344341400 has 96 divisors (see below), whose sum is σ = 32082946560. Its totient is φ = 2757159040.

The previous prime is 10344341393. The next prime is 10344341401. The reversal of 10344341400 is 414344301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344341401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2315569 + ... + 2320031.

It is an arithmetic number, because the mean of its divisors is an integer number (334197360).

Almost surely, 210344341400 is an apocalyptic number.

10344341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344341400 is an abundant number, since it is smaller than the sum of its proper divisors (21738605160).

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

10344341400 is a wasteful number, since it uses less digits than its factorization.

10344341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8336 counting only the distinct ones).

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

Adding to 10344341400 its reverse (414344301), we get a palindrome (10758685701).

It can be divided in two parts, 1034 and 4341400, that added together give a palindrome (4342434).

The spelling of 10344341400 in words is "ten billion, three hundred forty-four million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3863 4463 7726 8926 11589 13389 15452 17852 19315 22315 23178 26778 30904 35704 38630 44630 46356 53556 57945 66945 77260 89260 92712 96575 107112 111575 115890 133890 154520 178520 193150 223150 231780 267780 289725 334725 386300 446300 463560 535560 579450 669450 772600 892600 1158900 1338900 2317800 2677800 17240569 34481138 51721707 68962276 86202845 103443414 137924552 172405690 206886828 258608535 344811380 413773656 431014225 517217070 689622760 862028450 1034434140 1293042675 1724056900 2068868280 2586085350 3448113800 5172170700 10344341400