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4463342440 = 2351929313647
BaseRepresentation
bin1000010100000100…
…10011001101101000
3102112001120021210021
410022002103031220
533120103424230
62014520530224
7215414533114
oct41202231550
912461507707
104463342440
111990493267
12a46920974
1356191043b
14304ac6744
151b1c9bc7a
hex10a093368

4463342440 has 128 divisors (see below), whose sum is σ = 10987488000. Its totient is φ = 1625315328.

The previous prime is 4463342393. The next prime is 4463342479. The reversal of 4463342440 is 442433644.

It is a junction number, because it is equal to n+sod(n) for n = 4463342396 and 4463342405.

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, 6898197 + ... + 6898843.

It is an arithmetic number, because the mean of its divisors is an integer number (85839750).

Almost surely, 24463342440 is an apocalyptic number.

4463342440 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 4463342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493744000).

4463342440 is an abundant number, since it is smaller than the sum of its proper divisors (6524145560).

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

4463342440 is a wasteful number, since it uses less digits than its factorization.

4463342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

The square root of 4463342440 is about 66808.2512867984. The cubic root of 4463342440 is about 1646.4684110253.

The spelling of 4463342440 in words is "four billion, four hundred sixty-three million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 313 380 551 580 626 647 760 1102 1160 1252 1294 1565 2204 2504 2588 2755 3130 3235 4408 5176 5510 5947 6260 6470 9077 11020 11894 12293 12520 12940 18154 18763 22040 23788 24586 25880 29735 36308 37526 45385 47576 49172 59470 61465 72616 75052 90770 93815 98344 118940 122930 150104 172463 181540 187630 202511 237880 245860 344926 356497 363080 375260 405022 491720 689852 712994 750520 810044 862315 1012555 1379704 1425988 1620088 1724630 1782485 2025110 2851976 3449260 3564970 3847709 4050220 5872819 6898520 7129940 7695418 8100440 11745638 14259880 15390836 19238545 23491276 29364095 30781672 38477090 46982552 58728190 76954180 111583561 117456380 153908360 223167122 234912760 446334244 557917805 892668488 1115835610 2231671220 4463342440