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3014434332 = 22337213431019
BaseRepresentation
bin1011001110101100…
…1001111000011100
321210002012010112000
42303223021320130
522133143344312
61215041442300
7134462161200
oct26353117034
97702163460
103014434332
11130762a148
12701640390
13390699570
142084c2b00
15129995adc
hexb3ac9e1c

3014434332 has 288 divisors, whose sum is σ = 10027987200. Its totient is φ = 775764864.

The previous prime is 3014434301. The next prime is 3014434343. The reversal of 3014434332 is 2334344103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3014434296 and 3014434305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2957719 + ... + 2958737.

It is an arithmetic number, because the mean of its divisors is an integer number (34819400).

Almost surely, 23014434332 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 3014434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013993600).

3014434332 is an abundant number, since it is smaller than the sum of its proper divisors (7013552868).

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

3014434332 is a wasteful number, since it uses less digits than its factorization.

3014434332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3014434332 is about 54903.8644541530. The cubic root of 3014434332 is about 1444.5589714206.

Adding to 3014434332 its reverse (2334344103), we get a palindrome (5348778435).

The spelling of 3014434332 in words is "three billion, fourteen million, four hundred thirty-four thousand, three hundred thirty-two".