Search a number
-
+
3423234331220 = 2251131011273231
BaseRepresentation
bin110001110100001000101…
…010101001001001010100
3110010020222002022222000212
4301310020222221021110
5422041240442044340
611140340120024552
7502214636500064
oct61641052511124
913106862288025
103423234331220
1110aa87059a000
12473542302158
131baa6a944c12
14bb984b453a4
155e0a5cd8a65
hex31d08aa9254

3423234331220 has 96 divisors (see below), whose sum is σ = 7985425900032. Its totient is φ = 1232486640000.

The previous prime is 3423234331211. The next prime is 3423234331229. The reversal of 3423234331220 is 221334323243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3423234331211) and next prime (3423234331229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423234331229) 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 31 ways as a sum of consecutive naturals, for example, 2052005 + ... + 3325235.

It is an arithmetic number, because the mean of its divisors is an integer number (83181519792).

Almost surely, 23423234331220 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 3423234331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992712950016).

3423234331220 is an abundant number, since it is smaller than the sum of its proper divisors (4562191568812).

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

3423234331220 is a wasteful number, since it uses less digits than its factorization.

3423234331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273374 (or 1273350 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3423234331220 its reverse (221334323243), we get a palindrome (3644568654463).

The spelling of 3423234331220 in words is "three trillion, four hundred twenty-three billion, two hundred thirty-four million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 1331 2020 2222 2420 2662 4444 5324 5555 6655 11110 12221 13310 22220 24442 26620 48884 61105 122210 134431 244420 268862 537724 672155 1273231 1344310 2546462 2688620 5092924 6366155 12732310 14005541 25464620 28011082 56022164 70027705 128596331 140055410 154060951 257192662 280110820 308121902 514385324 616243804 642981655 770304755 1285963310 1414559641 1540609510 1694670461 2571926620 2829119282 3081219020 3389340922 5658238564 6778681844 7072798205 8473352305 14145596410 15560156051 16946704610 28291192820 31120312102 33893409220 62240624204 77800780255 155601560510 171161716561 311203121020 342323433122 684646866244 855808582805 1711617165610 3423234331220