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32442434240 = 265107947501
BaseRepresentation
bin11110001101101110…
…000100001011000000
310002201222011102021112
4132031232010023000
51012420230343430
622523121542452
72225645066246
oct361556041300
9102658142245
1032442434240
11128389aa027
126354aa4a28
1330a03ba568
1417da992796
15c9d283195
hex78db842c0

32442434240 has 56 divisors (see below), whose sum is σ = 77975624592. Its totient is φ = 12855680000.

The previous prime is 32442434221. The next prime is 32442434249. The reversal of 32442434240 is 4243424423.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32442434197 and 32442434206.

It is not an unprimeable number, because it can be changed into a prime (32442434249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439511 + ... + 507990.

Almost surely, 232442434240 is an apocalyptic number.

It is an amenable number.

32442434240 is an abundant number, since it is smaller than the sum of its proper divisors (45533190352).

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

32442434240 is a wasteful number, since it uses less digits than its factorization.

32442434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947625 (or 947615 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 32442434240 its reverse (4243424423), we get a palindrome (36685858663).

The spelling of 32442434240 in words is "thirty-two billion, four hundred forty-two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 947501 1895002 3790004 4737505 7580008 9475010 15160016 18950020 30320032 37900040 60640064 75800080 101382607 151600160 202765214 303200320 405530428 506913035 811060856 1013826070 1622121712 2027652140 3244243424 4055304280 6488486848 8110608560 16221217120 32442434240