Search a number
-
+
34103421030 = 23571712897411
BaseRepresentation
bin11111110000101110…
…001110100001100110
310021000201121021210210
4133300232032201212
51024320433433110
623400014400250
72315054203320
oct376056164146
9107021537723
1034103421030
1113510545a88
126739200086
1332a6557493
141917400610
15d48ecc520
hex7f0b8e866

34103421030 has 128 divisors (see below), whose sum is σ = 99133424640. Its totient is φ = 7329853440.

The previous prime is 34103420999. The next prime is 34103421031. The reversal of 34103421030 is 3012430143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34103420988 and 34103421006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103421031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598025 + ... + 4605435.

It is an arithmetic number, because the mean of its divisors is an integer number (774479880).

Almost surely, 234103421030 is an apocalyptic number.

34103421030 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 34103421030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49566712320).

34103421030 is an abundant number, since it is smaller than the sum of its proper divisors (65030003610).

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

34103421030 is a wasteful number, since it uses less digits than its factorization.

34103421030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34103421030 its reverse (3012430143), we get a palindrome (37115851173).

The spelling of 34103421030 in words is "thirty-four billion, one hundred three million, four hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1289 1785 2578 3570 3867 6445 7411 7734 9023 12890 14822 18046 19335 21913 22233 27069 37055 38670 43826 44466 45115 51877 54138 65739 74110 90230 103754 109565 111165 125987 131478 135345 153391 155631 219130 222330 251974 259385 270690 306782 311262 328695 377961 460173 518770 629935 657390 755922 766955 778155 881909 920346 1259870 1533910 1556310 1763818 1889805 2300865 2645727 3779610 4409545 4601730 5291454 8819090 9552779 13228635 19105558 26457270 28658337 47763895 57316674 66869453 95527790 133738906 143291685 162397243 200608359 286583370 324794486 334347265 401216718 487191729 668694530 811986215 974383458 1003041795 1136780701 1623972430 2006083590 2273561402 2435958645 3410342103 4871917290 5683903505 6820684206 11367807010 17051710515 34103421030