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10344440700 = 223252111044893
BaseRepresentation
bin10011010001001001…
…11010001101111100
3222200220220000221100
421220210322031330
5132141134100300
64430245133100
7514226203146
oct115044721574
928626800840
1010344440700
114429192450
1220083ba190
13c8b178139
14701bc3c96
15408249700
hex26893a37c

10344440700 has 108 divisors (see below), whose sum is σ = 35371751688. Its totient is φ = 2507740800.

The previous prime is 10344440681. The next prime is 10344440713. The reversal of 10344440700 is 704444301.

10344440700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103444407003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 512547 + ... + 532346.

Almost surely, 210344440700 is an apocalyptic number.

10344440700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344440700 is an abundant number, since it is smaller than the sum of its proper divisors (25027310988).

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

10344440700 is a wasteful number, since it uses less digits than its factorization.

10344440700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044924 (or 1044914 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 10344440700 in words is "ten billion, three hundred forty-four million, four hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1044893 2089786 3134679 4179572 5224465 6269358 9404037 10448930 11493823 12538716 15673395 18808074 20897860 22987646 26122325 31346790 34481469 37616148 45975292 47020185 52244650 57469115 62693580 68962938 78366975 94040370 103444407 104489300 114938230 137925876 156733950 172407345 188080740 206888814 229876460 235100925 287345575 313467900 344814690 413777628 470201850 517222035 574691150 689629380 862036725 940403700 1034444070 1149382300 1724073450 2068888140 2586110175 3448146900 5172220350 10344440700