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3423254466400 = 25527358617371
BaseRepresentation
bin110001110100001001110…
…111011100111101100000
3110010021000111012221022021
4301310021313130331200
5422041311120411100
611140342115351224
7502215302601166
oct61641167347540
913107014187267
103423254466400
1110aa8809a194a
12473548bb2514
131baa71b74a22
14bb9876a7236
155e0a7964a1a
hex31d09ddcf60

3423254466400 has 72 divisors (see below), whose sum is σ = 8471499836184. Its totient is φ = 1350544204800.

The previous prime is 3423254466391. The next prime is 3423254466403. The reversal of 3423254466400 is 46644523243.

It is a super-2 number, since 2×34232544664002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423254466403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29250286 + ... + 29367085.

It is an arithmetic number, because the mean of its divisors is an integer number (117659719947).

Almost surely, 23423254466400 is an apocalyptic number.

It is an amenable number.

3423254466400 is an abundant number, since it is smaller than the sum of its proper divisors (5048245369784).

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

3423254466400 is a wasteful number, since it uses less digits than its factorization.

3423254466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58617464 (or 58617451 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

Adding to 3423254466400 its reverse (46644523243), we get a palindrome (3469898989643).

The spelling of 3423254466400 in words is "three trillion, four hundred twenty-three billion, two hundred fifty-four million, four hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 365 400 584 730 800 1168 1460 1825 2336 2920 3650 5840 7300 11680 14600 29200 58400 58617371 117234742 234469484 293086855 468938968 586173710 937877936 1172347420 1465434275 1875755872 2344694840 2930868550 4279068083 4689389680 5861737100 8558136166 9378779360 11723474200 17116272332 21395340415 23446948400 34232544664 42790680830 46893896800 68465089328 85581361660 106976702075 136930178656 171162723320 213953404150 342325446640 427906808300 684650893280 855813616600 1711627233200 3423254466400