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2034320 = 24559431
BaseRepresentation
bin111110000101010010000
310211100120012
413300222100
51010044240
6111334052
723201651
oct7605220
93740505
102034320
11116a462
12821328
13562c52
143ad528
152a2b65
hex1f0a90

2034320 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 798080.

The previous prime is 2034317. The next prime is 2034337. The reversal of 2034320 is 234302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2034295 and 2034304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4505 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22034320 is an apocalyptic number.

2034320 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 2034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2034320 is an abundant number, since it is smaller than the sum of its proper divisors (2786800).

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

2034320 is a wasteful number, since it uses less digits than its factorization.

2034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2034320 is about 1426.2959019783. The cubic root of 2034320 is about 126.7086964248.

Adding to 2034320 its reverse (234302), we get a palindrome (2268622).

The spelling of 2034320 in words is "two million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 431 472 590 862 944 1180 1724 2155 2360 3448 4310 4720 6896 8620 17240 25429 34480 50858 101716 127145 203432 254290 406864 508580 1017160 2034320