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1434441040 = 24559303907
BaseRepresentation
bin101010101111111…
…1101010101010000
310200222011011011221
41111133331111100
510414204103130
6354201014424
750355355564
oct12537752520
93628134157
101434441040
1167678286a
12340484414
1319b249ca6
14d87196a4
1585de987a
hex557fd550

1434441040 has 40 divisors (see below), whose sum is σ = 3391613280. Its totient is φ = 564049536.

The previous prime is 1434441017. The next prime is 1434441121. The reversal of 1434441040 is 401444341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1434440996 and 1434441014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147234 + ... + 156673.

It is an arithmetic number, because the mean of its divisors is an integer number (84790332).

Almost surely, 21434441040 is an apocalyptic number.

1434441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434441040 is an abundant number, since it is smaller than the sum of its proper divisors (1957172240).

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

1434441040 is a wasteful number, since it uses less digits than its factorization.

1434441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303979 (or 303973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1434441040 is about 37874.0153667392. The cubic root of 1434441040 is about 1127.7882547733.

Adding to 1434441040 its reverse (401444341), we get a palindrome (1835885381).

The spelling of 1434441040 in words is "one billion, four hundred thirty-four million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 303907 607814 1215628 1519535 2431256 3039070 4862512 6078140 12156280 17930513 24312560 35861026 71722052 89652565 143444104 179305130 286888208 358610260 717220520 1434441040