Search a number
-
+
3434223300132 = 2232956988719553
BaseRepresentation
bin110001111110010111101…
…010001110111000100100
3110011022022221000102110110
4301332113222032320210
5422231242131101012
611145354351453020
7503054153260242
oct61762752167044
913138287012413
103434223300132
11110449a582a99
124756aa527170
131bbacc4a95a1
14bc308383792
155e4ea8e973c
hex31f97a8ee24

3434223300132 has 96 divisors (see below), whose sum is σ = 8313860217600. Its totient is φ = 1102024548352.

The previous prime is 3434223300097. The next prime is 3434223300197. The reversal of 3434223300132 is 2310033224343.

It is a self number, because there is not a number n which added to its sum of digits gives 3434223300132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175626868 + ... + 175646420.

It is an arithmetic number, because the mean of its divisors is an integer number (86602710600).

Almost surely, 23434223300132 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 3434223300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156930108800).

3434223300132 is an abundant number, since it is smaller than the sum of its proper divisors (4879636917468).

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

3434223300132 is a wasteful number, since it uses less digits than its factorization.

3434223300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045 (or 21043 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3434223300132 its reverse (2310033224343), we get a palindrome (5744256524475).

The spelling of 3434223300132 in words is "three trillion, four hundred thirty-four billion, two hundred twenty-three million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 569 887 1138 1707 1774 2276 2661 3414 3548 5322 6828 10644 16501 19553 25723 33002 39106 49503 51446 58659 66004 77169 78212 99006 102892 117318 154338 198012 234636 308676 504703 567037 1009406 1134074 1514109 1701111 2018812 2268148 3028218 3402222 6056436 6804444 11125657 14636387 17343511 22251314 29272774 33376971 34687022 43909161 44502628 52030533 58545548 66753942 69374044 87818322 104061066 133507884 175636644 208122132 322644053 502961819 645288106 967932159 1005923638 1290576212 1508885457 1935864318 2011847276 3017770914 3871728636 6035541828 9868457759 19736915518 29605373277 39473831036 59210746554 118421493108 286185275011 572370550022 858555825033 1144741100044 1717111650066 3434223300132