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3342343303424 = 28173277272449
BaseRepresentation
bin110000101000110011001…
…011110111000100000000
3102211112011122120222200102
4300220303023313010000
5414230104341202144
611035241252341532
7463322245215566
oct60506313670400
912745148528612
103342343303424
111079530729614
1245b9280148a8
131b3249038528
14b7aad907a36
155be1e4b1b4e
hex30a332f7100

3342343303424 has 72 divisors (see below), whose sum is σ = 6734444165400. Its totient is φ = 1655507386368.

The previous prime is 3342343303423. The next prime is 3342343303451. The reversal of 3342343303424 is 4243033432433.

It can be written as a sum of positive squares in 4 ways, for example, as 1038116454400 + 2304226849024 = 1018880^2 + 1517968^2 .

It is a super-2 number, since 2×33423433034242 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342343303423) 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 7 ways as a sum of consecutive naturals, for example, 12131552 + ... + 12404000.

Almost surely, 23342343303424 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 3342343303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367222082700).

3342343303424 is an abundant number, since it is smaller than the sum of its proper divisors (3392100861976).

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

3342343303424 is a wasteful number, since it uses less digits than its factorization.

3342343303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272915 (or 272901 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

Adding to 3342343303424 its reverse (4243033432433), we get a palindrome (7585376735857).

The spelling of 3342343303424 in words is "three trillion, three hundred forty-two billion, three hundred forty-three million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 277 346 554 692 1108 1384 2216 2768 4432 5536 8864 11072 17728 22144 35456 44288 47921 70912 95842 191684 272449 383368 544898 766736 1089796 1533472 2179592 3066944 4359184 6133888 8718368 12267776 17436736 34873472 47133677 69746944 75468373 94267354 150936746 188534708 301873492 377069416 603746984 754138832 1207493968 1508277664 2414987936 3016555328 4829975872 6033110656 9659951744 12066221312 13056028529 19319903488 26112057058 52224114116 104448228232 208896456464 417792912928 835585825856 1671171651712 3342343303424