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2104004430 = 2335111913709
BaseRepresentation
bin111110101101000…
…1000111101001110
312102122001111111000
41331122020331032
513302111120210
6544440041130
7103065512463
oct17532107516
95378044430
102104004430
1198a723740
124a87631a6
13276b90748
1415d60d66a
15c4aa8ac0
hex7d688f4e

2104004430 has 128 divisors (see below), whose sum is σ = 6154444800. Its totient is φ = 507254400.

The previous prime is 2104004423. The next prime is 2104004431. The reversal of 2104004430 is 344004012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104004431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565416 + ... + 569124.

It is an arithmetic number, because the mean of its divisors is an integer number (48081600).

Almost surely, 22104004430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077222400).

2104004430 is an abundant number, since it is smaller than the sum of its proper divisors (4050440370).

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

2104004430 is a wasteful number, since it uses less digits than its factorization.

2104004430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2104004430 is about 45869.4280539882. The cubic root of 2104004430 is about 1281.3926147656.

Adding to 2104004430 its reverse (344004012), we get a palindrome (2448008442).

The spelling of 2104004430 in words is "two billion, one hundred four million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 191 198 270 297 330 382 495 573 594 955 990 1146 1485 1719 1910 2101 2865 2970 3438 3709 4202 5157 5730 6303 7418 8595 10314 10505 11127 12606 17190 18545 18909 21010 22254 25785 31515 33381 37090 37818 40799 51570 55635 56727 63030 66762 81598 94545 100143 111270 113454 122397 166905 189090 200286 203995 244794 283635 333810 367191 407990 500715 567270 611985 708419 734382 1001430 1101573 1223970 1416838 1835955 2125257 2203146 3542095 3671910 4250514 5507865 6375771 7084190 7792609 10626285 11015730 12751542 15585218 19127313 21252570 23377827 31878855 38254626 38963045 46755654 63757710 70133481 77926090 95636565 116889135 140266962 191273130 210400443 233778270 350667405 420800886 701334810 1052002215 2104004430