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2034144 = 253271009
BaseRepresentation
bin111110000100111100000
310211100022200
413300213200
51010043034
6111333200
723201310
oct7604740
93740280
102034144
11116a312
12821200
13562b48
143ad440
152a2a99
hex1f09e0

2034144 has 72 divisors (see below), whose sum is σ = 6617520. Its totient is φ = 580608.

The previous prime is 2034139. The next prime is 2034157. The reversal of 2034144 is 4414302.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1512 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (91910).

22034144 is an apocalyptic number.

2034144 is a gapful number since it is divisible by the number (24) 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 2034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308760).

2034144 is an abundant number, since it is smaller than the sum of its proper divisors (4583376).

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

2034144 is a wasteful number, since it uses less digits than its factorization.

2034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2034144 is about 1426.2342023665. The cubic root of 2034144 is about 126.7050422351.

Adding to 2034144 its reverse (4414302), we get a palindrome (6448446).

The spelling of 2034144 in words is "two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1009 2016 2018 3027 4036 6054 7063 8072 9081 12108 14126 16144 18162 21189 24216 28252 32288 36324 42378 48432 56504 63567 72648 84756 96864 113008 127134 145296 169512 226016 254268 290592 339024 508536 678048 1017072 2034144