Search a number
-
+
3475077390 = 2375198363
BaseRepresentation
bin1100111100100001…
…0111100100001110
322222011222020000000
43033020113210032
524104104434030
61332454545130
7152054445651
oct31710274416
98864866000
103475077390
111523655094
1280b9681a6
13434c51715
1424d751898
15155137860
hexcf21790e

3475077390 has 128 divisors (see below), whose sum is σ = 9876211200. Its totient is φ = 877809312.

The previous prime is 3475077377. The next prime is 3475077421. The reversal of 3475077390 is 937705743.

3475077390 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411349 + ... + 419711.

It is an arithmetic number, because the mean of its divisors is an integer number (77157900).

Almost surely, 23475077390 is an apocalyptic number.

3475077390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3475077390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938105600).

3475077390 is an abundant number, since it is smaller than the sum of its proper divisors (6401133810).

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

3475077390 is an equidigital number, since it uses as much as digits as its factorization.

3475077390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 3475077390 is about 58949.7870225160. The cubic root of 3475077390 is about 1514.6821017137.

The spelling of 3475077390 in words is "three billion, four hundred seventy-five million, seventy-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 729 810 855 1026 1215 1458 1539 1710 2187 2430 2565 3078 3645 4374 4617 5130 7290 7695 8363 9234 10935 13851 15390 16726 21870 23085 25089 27702 41553 41815 46170 50178 69255 75267 83106 83630 125445 138510 150534 158897 207765 225801 250890 317794 376335 415530 451602 476691 677403 752670 794485 953382 1129005 1354806 1430073 1588970 2032209 2258010 2383455 2860146 3387015 4064418 4290219 4766910 6096627 6774030 7150365 8580438 10161045 12193254 12870657 14300730 18289881 20322090 21451095 25741314 30483135 36579762 38611971 42902190 60966270 64353285 77223942 91449405 115835913 128706570 182898810 193059855 231671826 347507739 386119710 579179565 695015478 1158359130 1737538695 3475077390