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385343041720 = 235713346930517
BaseRepresentation
bin1011001101110000011…
…11000011000010111000
31100211122012220202002011
411212320033003002320
522303140304313340
6453005114415304
736561105545140
oct5467017030270
91324565822064
10385343041720
1113947211273a
1262822731534
132a450bb0270
1414917757920
15a054c960ea
hex59b83c30b8

385343041720 has 128 divisors (see below), whose sum is σ = 1067446396800. Its totient is φ = 121915570176.

The previous prime is 385343041709. The next prime is 385343041723. The reversal of 385343041720 is 27140343583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385343041723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12611902 + ... + 12642418.

It is an arithmetic number, because the mean of its divisors is an integer number (8339424975).

Almost surely, 2385343041720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385343041720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533723198400).

385343041720 is an abundant number, since it is smaller than the sum of its proper divisors (682103355080).

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

385343041720 is a wasteful number, since it uses less digits than its factorization.

385343041720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34017 (or 34013 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 385343041720 in words is "three hundred eighty-five billion, three hundred forty-three million, forty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3469 3640 6938 13876 17345 24283 27752 30517 34690 45097 48566 61034 69380 90194 97132 121415 122068 138760 152585 180388 194264 213619 225485 242830 244136 305170 315679 360776 396721 427238 450970 485660 610340 631358 793442 854476 901940 971320 1068095 1220680 1262716 1578395 1586884 1708952 1803880 1983605 2136190 2525432 2777047 3156790 3173768 3967210 4272380 5554094 6313580 7934420 8544760 11108188 12627160 13885235 15868840 22216376 27770470 55540940 105863473 111081880 211726946 423453892 529317365 741044311 846907784 1058634730 1376225149 1482088622 2117269460 2752450298 2964177244 3705221555 4234538920 5504900596 5928354488 6881125745 7410443110 9633576043 11009801192 13762251490 14820886220 19267152086 27524502980 29641772440 38534304172 48167880215 55049005960 77068608344 96335760430 192671520860 385343041720