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32034323440 = 2457142740087
BaseRepresentation
bin11101110101011001…
…001111101111110000
310001200112020020111201
4131311121033233300
51011101241322230
622414422420544
72212561153660
oct356531175760
9101615206451
1032034323440
11126495a4379
126260291754
133036999292
14179c6ba1a0
15c7751b5ca
hex77564fbf0

32034323440 has 80 divisors (see below), whose sum is σ = 85181548032. Its totient is φ = 10975226112.

The previous prime is 32034323407. The next prime is 32034323443. The reversal of 32034323440 is 4432343023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32034323399 and 32034323408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32034323443) 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, 779077 + ... + 819163.

Almost surely, 232034323440 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 32034323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42590774016).

32034323440 is an abundant number, since it is smaller than the sum of its proper divisors (53147224592).

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

32034323440 is a wasteful number, since it uses less digits than its factorization.

32034323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41534 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 32034323440 its reverse (4432343023), we get a palindrome (36466666463).

The spelling of 32034323440 in words is "thirty-two billion, thirty-four million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1427 2854 5708 7135 9989 11416 14270 19978 22832 28540 39956 40087 49945 57080 79912 80174 99890 114160 159824 160348 199780 200435 280609 320696 399560 400870 561218 641392 799120 801740 1122436 1403045 1603480 2244872 2806090 3206960 4489744 5612180 11224360 22448720 57204149 114408298 228816596 286020745 400429043 457633192 572041490 800858086 915266384 1144082980 1601716172 2002145215 2288165960 3203432344 4004290430 4576331920 6406864688 8008580860 16017161720 32034323440