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3420044000 = 25533127581
BaseRepresentation
bin1100101111011001…
…1011101011100000
322211100102020101022
43023312123223200
524001012402000
61323211225012
7150515615522
oct31366335340
98740366338
103420044000
1114a558674a
127b5448168
13426723299
14246307a12
151503b6585
hexcbd9bae0

3420044000 has 96 divisors (see below), whose sum is σ = 8674428672. Its totient is φ = 1323840000.

The previous prime is 3420043961. The next prime is 3420044021. The reversal of 3420044000 is 4400243.

It is a self number, because there is not a number n which added to its sum of digits gives 3420044000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110210 + ... + 137790.

It is an arithmetic number, because the mean of its divisors is an integer number (90358632).

Almost surely, 23420044000 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 3420044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337214336).

3420044000 is an abundant number, since it is smaller than the sum of its proper divisors (5254384672).

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

3420044000 is a wasteful number, since it uses less digits than its factorization.

3420044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27637 (or 27619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3420044000 is about 58481.1422597062. The cubic root of 3420044000 is about 1506.6437157684.

Adding to 3420044000 its reverse (4400243), we get a palindrome (3424444243).

The spelling of 3420044000 in words is "three billion, four hundred twenty million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 27581 31000 55162 62000 110324 124000 137905 220648 275810 441296 551620 689525 855011 882592 1103240 1379050 1710022 2206480 2758100 3420044 3447625 4275055 4412960 5516200 6840088 6895250 8550110 11032400 13680176 13790500 17100220 21375275 22064800 27360352 27581000 34200440 42750550 55162000 68400880 85501100 106876375 110324000 136801760 171002200 213752750 342004400 427505500 684008800 855011000 1710022000 3420044000