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32016401340 = 223571131223547
BaseRepresentation
bin11101110100010100…
…111000001110111100
310001122021111201000020
4131310110320032330
51011032144320330
622412542332140
72212252630650
oct356424701674
9101567451006
1032016401340
111263a473220
12625628a050
1330330628a1
14179a172a60
15c75b7b210
hex7745383bc

32016401340 has 192 divisors, whose sum is σ = 115372228608. Its totient is φ = 6438124800.

The previous prime is 32016401323. The next prime is 32016401353. The reversal of 32016401340 is 4310461023.

It is a self number, because there is not a number n which added to its sum of digits gives 32016401340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31447 + ... + 254993.

It is an arithmetic number, because the mean of its divisors is an integer number (600897024).

Almost surely, 232016401340 is an apocalyptic number.

32016401340 is a gapful number since it is divisible by the number (30) 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 32016401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57686114304).

32016401340 is an abundant number, since it is smaller than the sum of its proper divisors (83355827268).

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

32016401340 is a wasteful number, since it uses less digits than its factorization.

32016401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223608 (or 223606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32016401340 its reverse (4310461023), we get a palindrome (36326862363).

The spelling of 32016401340 in words is "thirty-two billion, sixteen million, four hundred one thousand, three hundred forty".