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419425344 = 26331318671
BaseRepresentation
bin11000111111111…
…110110001000000
31002020020000102000
4120333332301000
51324333102334
6105341424000
713252025262
oct3077766100
91066200360
10419425344
111a5833518
12b856b000
1368b832a0
143d9bdb32
1526c4e299
hex18ffec40

419425344 has 112 divisors (see below), whose sum is σ = 1327952640. Its totient is φ = 129047040.

The previous prime is 419425337. The next prime is 419425379. The reversal of 419425344 is 443524914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 419425299 and 419425308.

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, 13129 + ... + 31799.

It is an arithmetic number, because the mean of its divisors is an integer number (11856720).

Almost surely, 2419425344 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 419425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663976320).

419425344 is an abundant number, since it is smaller than the sum of its proper divisors (908527296).

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

419425344 is a wasteful number, since it uses less digits than its factorization.

419425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18705 (or 18689 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 419425344 is about 20479.8765621280. The cubic root of 419425344 is about 748.5455331917.

The spelling of 419425344 in words is "four hundred nineteen million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 18671 22464 37342 56013 74684 112026 149368 168039 224052 242723 298736 336078 448104 485446 504117 597472 672156 728169 896208 970892 1008234 1194944 1344312 1456338 1792416 1941784 2016468 2184507 2688624 2912676 3584832 3883568 4032936 4369014 5377248 5825352 6553521 7767136 8065872 8738028 10754496 11650704 13107042 15534272 16131744 17476056 23301408 26214084 32263488 34952112 46602816 52428168 69904224 104856336 139808448 209712672 419425344