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3310140420 = 2232519139613
BaseRepresentation
bin1100010101001100…
…1011110000000100
322112200121120000100
43011103023300010
523234343443140
61304243444100
7145012505106
oct30523136004
98480546010
103310140420
111449540544
12784686630
13409a22a92
14235899576
15145907530
hexc54cbc04

3310140420 has 72 divisors (see below), whose sum is σ = 10047053016. Its totient is φ = 882150912.

The previous prime is 3310140401. The next prime is 3310140443. The reversal of 3310140420 is 240410133.

It can be written as a sum of positive squares in 4 ways, for example, as 2007219204 + 1302921216 = 44802^2 + 36096^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3310140393 and 3310140402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339534 + ... + 349146.

It is an arithmetic number, because the mean of its divisors is an integer number (139542403).

Almost surely, 23310140420 is an apocalyptic number.

3310140420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3310140420 is an abundant number, since it is smaller than the sum of its proper divisors (6736912596).

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

3310140420 is a wasteful number, since it uses less digits than its factorization.

3310140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3310140420 is about 57533.8197932312. The cubic root of 3310140420 is about 1490.3289545907.

Adding to 3310140420 its reverse (240410133), we get a palindrome (3550550553).

The spelling of 3310140420 in words is "three billion, three hundred ten million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1913 3826 5739 7652 9565 9613 11478 17217 19130 19226 22956 28695 28839 34434 38260 38452 48065 57390 57678 68868 86085 86517 96130 114780 115356 144195 172170 173034 192260 288390 344340 346068 432585 576780 865170 1730340 18389669 36779338 55169007 73558676 91948345 110338014 165507021 183896690 220676028 275845035 331014042 367793380 551690070 662028084 827535105 1103380140 1655070210 3310140420