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3405473540 = 225727943987
BaseRepresentation
bin1100101011111011…
…0110011100000100
322210022222222110122
43022332312130010
523433300123130
61321531041112
7150251022200
oct31276663404
98708888418
103405473540
111498334747
127b05a0198
134236c1301
142443d3b00
1514de892e5
hexcafb6704

3405473540 has 72 divisors (see below), whose sum is σ = 8424581760. Its totient is φ = 1152785088.

The previous prime is 3405473503. The next prime is 3405473549. The reversal of 3405473540 is 453745043.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3405473540.

It is not an unprimeable number, because it can be changed into a prime (3405473549) 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 23 ways as a sum of consecutive naturals, for example, 55427 + ... + 99413.

It is an arithmetic number, because the mean of its divisors is an integer number (117008080).

Almost surely, 23405473540 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 3405473540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212290880).

3405473540 is an abundant number, since it is smaller than the sum of its proper divisors (5019108220).

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

3405473540 is a wasteful number, since it uses less digits than its factorization.

3405473540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44089 (or 44080 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The square root of 3405473540 is about 58356.4352920910. The cubic root of 3405473540 is about 1504.5010785368.

The spelling of 3405473540 in words is "three billion, four hundred five million, four hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 790 980 1106 1580 2212 2765 3871 5530 7742 11060 15484 19355 38710 43987 77420 87974 175948 219935 307909 439870 615818 879740 1231636 1539545 2155363 3079090 3474973 4310726 6158180 6949946 8621452 10776815 13899892 17374865 21553630 24324811 34749730 43107260 48649622 69499460 97299244 121624055 170273677 243248110 340547354 486496220 681094708 851368385 1702736770 3405473540