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4410003420 = 223354723697
BaseRepresentation
bin1000001101101101…
…10100111111011100
3102101100012101102000
410012312310333130
533012430102140
62005333402300
7214166260554
oct40666647734
912340171360
104410003420
111963371929
12a30a99390
135538562a4
142db9a0164
151ac262a30
hex106db4fdc

4410003420 has 144 divisors (see below), whose sum is σ = 14021928480. Its totient is φ = 1150668288.

The previous prime is 4410003413. The next prime is 4410003431. The reversal of 4410003420 is 243000144.

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

It is a junction number, because it is equal to n+sod(n) for n = 4410003393 and 4410003402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191012 + ... + 1194708.

Almost surely, 24410003420 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 4410003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010964240).

4410003420 is an abundant number, since it is smaller than the sum of its proper divisors (9611925060).

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

4410003420 is a wasteful number, since it uses less digits than its factorization.

4410003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3754 counting only the distinct ones).

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

The square root of 4410003420 is about 66407.8566135062. The cubic root of 4410003420 is about 1639.8834217153.

Adding to 4410003420 its reverse (243000144), we get a palindrome (4653003564).

The spelling of 4410003420 in words is "four billion, four hundred ten million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2209 2538 2820 3697 4230 4418 5076 6345 6627 7394 8460 8836 11045 11091 12690 13254 14788 18485 19881 22090 22182 25380 26508 33135 33273 36970 39762 44180 44364 55455 59643 66270 66546 73940 79524 99405 99819 110910 119286 132540 133092 166365 173759 198810 199638 221820 238572 298215 332730 347518 397620 399276 499095 521277 596430 665460 695036 868795 998190 1042554 1192860 1563831 1737590 1996380 2085108 2606385 3127662 3475180 4691493 5212770 6255324 7819155 8166673 9382986 10425540 15638310 16333346 18765972 23457465 24500019 31276620 32666692 40833365 46914930 49000038 73500057 81666730 93829860 98000076 122500095 147000114 163333460 220500171 245000190 294000228 367500285 441000342 490000380 735000570 882000684 1102500855 1470001140 2205001710 4410003420