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421411440 = 243589109181
BaseRepresentation
bin11001000111100…
…011101001110000
31002100221220211010
4121013203221300
51330340131230
6105452150520
713304636532
oct3107435160
91070856733
10421411440
111a696a71a
12b9168440
13693ca2a8
143dd79852
1526ee29b0
hex191e3a70

421411440 has 160 divisors (see below), whose sum is σ = 1340539200. Its totient is φ = 109486080.

The previous prime is 421411439. The next prime is 421411477. The reversal of 421411440 is 44114124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328150 + ... + 2328330.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2421411440 is an apocalyptic number.

421411440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

421411440 is an abundant number, since it is smaller than the sum of its proper divisors (919127760).

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

421411440 is a wasteful number, since it uses less digits than its factorization.

421411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 421411440 is about 20528.3082595717. The cubic root of 421411440 is about 749.7251971012.

Adding to 421411440 its reverse (44114124), we get a palindrome (465525564).

The spelling of 421411440 in words is "four hundred twenty-one million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 109 120 178 181 218 240 267 327 356 362 436 445 534 543 545 654 712 724 872 890 905 1068 1086 1090 1308 1335 1424 1448 1635 1744 1780 1810 2136 2172 2180 2616 2670 2715 2896 3270 3560 3620 4272 4344 4360 5232 5340 5430 6540 7120 7240 8688 8720 9701 10680 10860 13080 14480 16109 19402 19729 21360 21720 26160 29103 32218 38804 39458 43440 48327 48505 58206 59187 64436 77608 78916 80545 96654 97010 98645 116412 118374 128872 145515 155216 157832 161090 193308 194020 197290 232824 236748 241635 257744 291030 295935 315664 322180 386616 388040 394580 465648 473496 483270 582060 591870 644360 773232 776080 789160 946992 966540 1164120 1183740 1288720 1578320 1755881 1933080 2328240 2367480 3511762 3866160 4734960 5267643 7023524 8779405 10535286 14047048 17558810 21070572 26338215 28094096 35117620 42141144 52676430 70235240 84282288 105352860 140470480 210705720 421411440