Search a number
-
+
10344708720 = 243357960623
BaseRepresentation
bin10011010001001011…
…11011101001110000
3222200221101122121000
421220211323221300
5132141221134340
64430255002000
7514231400433
oct115045735160
928627348530
1010344708720
114429355855
122008509300
13c8b240128
14701c5381a
1540829dd30
hex26897ba70

10344708720 has 160 divisors (see below), whose sum is σ = 36083404800. Its totient is φ = 2723625216.

The previous prime is 10344708713. The next prime is 10344708721. The reversal of 10344708720 is 2780744301.

It is a happy number.

10344708720 is a `hidden beast` number, since 103 + 4 + 470 + 87 + 2 + 0 = 666.

10344708720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344708721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 140329 + ... + 200951.

It is an arithmetic number, because the mean of its divisors is an integer number (225521280).

Almost surely, 210344708720 is an apocalyptic number.

10344708720 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 10344708720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041702400).

10344708720 is an abundant number, since it is smaller than the sum of its proper divisors (25738696080).

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

10344708720 is a wasteful number, since it uses less digits than its factorization.

10344708720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60724 (or 60712 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10344708720 in words is "ten billion, three hundred forty-four million, seven hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 316 360 395 432 474 540 632 711 720 790 948 1080 1185 1264 1422 1580 1896 2133 2160 2370 2844 3160 3555 3792 4266 4740 5688 6320 7110 8532 9480 10665 11376 14220 17064 18960 21330 28440 34128 42660 56880 60623 85320 121246 170640 181869 242492 303115 363738 484984 545607 606230 727476 909345 969968 1091214 1212460 1454952 1636821 1818690 2182428 2424920 2728035 2909904 3273642 3637380 4364856 4789217 4849840 5456070 6547284 7274760 8184105 8729712 9578434 10912140 13094568 14367651 14549520 16368210 19156868 21824280 23946085 26189136 28735302 32736420 38313736 43102953 43648560 47892170 57470604 65472840 71838255 76627472 86205906 95784340 114941208 129308859 130945680 143676510 172411812 191568680 215514765 229882416 258617718 287353020 344823624 383137360 431029530 517235436 574706040 646544295 689647248 862059060 1034470872 1149412080 1293088590 1724118120 2068941744 2586177180 3448236240 5172354360 10344708720