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3424440040 = 235715777899
BaseRepresentation
bin1100110000011100…
…1100111011101000
322211122200120121121
43030013030323220
524003124040130
61323445345024
7150601155130
oct31407147350
98748616547
103424440040
1114a800953a
127b6a08174
134276021a8
14246b2dac0
15150983d7a
hexcc1ccee8

3424440040 has 64 divisors (see below), whose sum is σ = 8861904000. Its totient is φ = 1166600448.

The previous prime is 3424440037. The next prime is 3424440049. The reversal of 3424440040 is 400444243.

3424440040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3424439987 and 3424440014.

It is not an unprimeable number, because it can be changed into a prime (3424440049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 82909.

It is an arithmetic number, because the mean of its divisors is an integer number (138467250).

Almost surely, 23424440040 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 3424440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430952000).

3424440040 is an abundant number, since it is smaller than the sum of its proper divisors (5437463960).

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

3424440040 is a wasteful number, since it uses less digits than its factorization.

3424440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78074 (or 78070 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 3424440040 is about 58518.7152969031. The cubic root of 3424440040 is about 1507.2889735751.

Adding to 3424440040 its reverse (400444243), we get a palindrome (3824884283).

The spelling of 3424440040 in words is "three billion, four hundred twenty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 2198 3140 4396 5495 6280 8792 10990 21980 43960 77899 155798 311596 389495 545293 623192 778990 1090586 1557980 2181172 2726465 3115960 4362344 5452930 10905860 12230143 21811720 24460286 48920572 61150715 85611001 97841144 122301430 171222002 244602860 342444004 428055005 489205720 684888008 856110010 1712220020 3424440040