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334134124432 = 24173493519869
BaseRepresentation
bin1001101110010111111…
…00100001111110010000
31011221110101022012200221
410313023330201332100
520433301313440212
6413255445522424
733066104124163
oct4671374417620
91157411265627
10334134124432
11119784003199
1254910a13414
132567c846284
141225a655ada
158a59203807
hex4dcbf21f90

334134124432 has 40 divisors (see below), whose sum is σ = 687430611000. Its totient is φ = 156789000192.

The previous prime is 334134124427. The next prime is 334134124439. The reversal of 334134124432 is 234421431433.

It can be written as a sum of positive squares in 4 ways, for example, as 40894546176 + 293239578256 = 202224^2 + 541516^2 .

It is a super-2 number, since 2×3341341244322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (334134124439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665007 + ... + 1854862.

It is an arithmetic number, because the mean of its divisors is an integer number (17185765275).

Almost surely, 2334134124432 is an apocalyptic number.

It is an amenable number.

334134124432 is an abundant number, since it is smaller than the sum of its proper divisors (353296486568).

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

334134124432 is a wasteful number, since it uses less digits than its factorization.

334134124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520243 (or 3520237 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

Adding to 334134124432 its reverse (234421431433), we get a palindrome (568555555865).

The spelling of 334134124432 in words is "three hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 349 698 1396 2792 5584 5933 11866 23732 47464 94928 3519869 7039738 14079476 28158952 56317904 59837773 119675546 239351092 478702184 957404368 1228434281 2456868562 4913737124 9827474248 19654948496 20883382777 41766765554 83533531108 167067062216 334134124432