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440430420 = 22354723323
BaseRepresentation
bin11010010000000…
…110111101010100
31010200202011221210
4122100012331110
51400222233140
6111411541420
713625411463
oct3220067524
91120664853
10440430420
1120667a991
121035ba870
1370329021
14426ca9da
15289ecd80
hex1a406f54

440430420 has 72 divisors (see below), whose sum is σ = 1260381024. Its totient is φ = 114914624.

The previous prime is 440430391. The next prime is 440430443. The reversal of 440430420 is 24034044.

It is a super-2 number, since 2×4404304202 = 387957909722752800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130879 + ... + 134201.

It is an arithmetic number, because the mean of its divisors is an integer number (17505292).

Almost surely, 2440430420 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 440430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630190512).

440430420 is an abundant number, since it is smaller than the sum of its proper divisors (819950604).

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

440430420 is a wasteful number, since it uses less digits than its factorization.

440430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 440430420 is about 20986.4341897331. The cubic root of 440430420 is about 760.8384214470.

Adding to 440430420 its reverse (24034044), we get a palindrome (464464464).

The spelling of 440430420 in words is "four hundred forty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2209 2820 3323 4418 6627 6646 8836 9969 11045 13254 13292 16615 19938 22090 26508 33135 33230 39876 44180 49845 66270 66460 99690 132540 156181 199380 312362 468543 624724 780905 937086 1561810 1874172 2342715 3123620 4685430 7340507 9370860 14681014 22021521 29362028 36702535 44043042 73405070 88086084 110107605 146810140 220215210 440430420