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2534320 = 24579401
BaseRepresentation
bin1001101010101110110000
311202202102201
421222232300
51122044240
6130152544
730353455
oct11525660
94682381
102534320
111481088
12a22754
136a96c9
1449d82c
15350d9a
hex26abb0

2534320 has 40 divisors (see below), whose sum is σ = 5981760. Its totient is φ = 998400.

The previous prime is 2534317. The next prime is 2534327. The reversal of 2534320 is 234352.

2534320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6120 + ... + 6520.

It is an arithmetic number, because the mean of its divisors is an integer number (149544).

22534320 is an apocalyptic number.

2534320 is a gapful number since it is divisible by the number (20) 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 2534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990880).

2534320 is an abundant number, since it is smaller than the sum of its proper divisors (3447440).

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

2534320 is a wasteful number, since it uses less digits than its factorization.

2534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2534320 is about 1591.9547732269. The cubic root of 2534320 is about 136.3391190939.

Adding to 2534320 its reverse (234352), we get a palindrome (2768672).

Subtracting from 2534320 its reverse (234352), we obtain a cube (2299968 = 1323).

The spelling of 2534320 in words is "two million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 401 632 790 802 1264 1580 1604 2005 3160 3208 4010 6320 6416 8020 16040 31679 32080 63358 126716 158395 253432 316790 506864 633580 1267160 2534320