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2034540 = 2232589127
BaseRepresentation
bin111110000101101101100
310211100212100
413300231230
51010101130
6111335100
723202414
oct7605554
93740770
102034540
11116a642
12821490
13563091
143ad644
152a2c60
hex1f0b6c

2034540 has 72 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 532224.

The previous prime is 2034521. The next prime is 2034541. The reversal of 2034540 is 454302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2034541) 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, 15957 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22034540 is an apocalyptic number.

2034540 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 2034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2034540 is an abundant number, since it is smaller than the sum of its proper divisors (4255380).

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

2034540 is a wasteful number, since it uses less digits than its factorization.

2034540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2034540 is about 1426.3730227398. The cubic root of 2034540 is about 126.7132638656.

Adding to 2034540 its reverse (454302), we get a palindrome (2488842).

The spelling of 2034540 in words is "two million, thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 127 178 180 254 267 356 381 445 508 534 635 762 801 890 1068 1143 1270 1335 1524 1602 1780 1905 2286 2540 2670 3204 3810 4005 4572 5340 5715 7620 8010 11303 11430 16020 22606 22860 33909 45212 56515 67818 101727 113030 135636 169545 203454 226060 339090 406908 508635 678180 1017270 2034540