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3144332034 = 23554111959
BaseRepresentation
bin1011101101101010…
…1011001100000010
322010010121121200000
42323122223030002
522414422111114
61240001540430
7140630244534
oct27332531402
98103547600
103144332034
111373991218
12739044716
133b157a5cc
1421b857854
151360a3e09
hexbb6ab302

3144332034 has 48 divisors (see below), whose sum is σ = 7078693440. Its totient is φ = 1046085840.

The previous prime is 3144332033. The next prime is 3144332063. The reversal of 3144332034 is 4302334413.

3144332034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3144331989 and 3144332007.

It is not an unprimeable number, because it can be changed into a prime (3144332033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256947 + ... + 268905.

It is an arithmetic number, because the mean of its divisors is an integer number (147472780).

Almost surely, 23144332034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144332034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539346720).

3144332034 is an abundant number, since it is smaller than the sum of its proper divisors (3934361406).

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

3144332034 is a wasteful number, since it uses less digits than its factorization.

3144332034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12505 counting only the distinct ones).

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

The square root of 3144332034 is about 56074.3438124781. The cubic root of 3144332034 is about 1465.0174581976.

Adding to 3144332034 its reverse (4302334413), we get a palindrome (7446666447).

The spelling of 3144332034 in words is "three billion, one hundred forty-four million, three hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 541 1082 1623 3246 4869 9738 11959 14607 23918 29214 35877 43821 71754 87642 107631 131463 215262 262926 322893 645786 968679 1937358 2906037 5812074 6469819 12939638 19409457 38818914 58228371 116456742 174685113 349370226 524055339 1048110678 1572166017 3144332034