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2531444340 = 2235109387071
BaseRepresentation
bin1001011011100010…
…1100011001110100
320112102100200210210
42112320230121310
520141022204330
61055105345420
7116505631125
oct22670543164
96472320723
102531444340
111089a30667
125a7938270
133145bb979
141a02b804c
15ec38c8b0
hex96e2c674

2531444340 has 48 divisors (see below), whose sum is σ = 7153090560. Its totient is φ = 668856960.

The previous prime is 2531444323. The next prime is 2531444389. The reversal of 2531444340 is 434441352.

2531444340 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2531444298 and 2531444307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186996 + ... + 200075.

It is an arithmetic number, because the mean of its divisors is an integer number (149022720).

Almost surely, 22531444340 is an apocalyptic number.

2531444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531444340 is an abundant number, since it is smaller than the sum of its proper divisors (4621646220).

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

2531444340 is a wasteful number, since it uses less digits than its factorization.

2531444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387192 (or 387190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2531444340 is about 50313.4608231237. The cubic root of 2531444340 is about 1362.8753216788.

Adding to 2531444340 its reverse (434441352), we get a palindrome (2965885692).

The spelling of 2531444340 in words is "two billion, five hundred thirty-one million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 387071 774142 1161213 1548284 1935355 2322426 3870710 4644852 5806065 7741420 11612130 23224260 42190739 84381478 126572217 168762956 210953695 253144434 421907390 506288868 632861085 843814780 1265722170 2531444340