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2059344 = 24347227
BaseRepresentation
bin111110110110001010000
310212121220000
413312301100
51011344334
6112050000
723334630
oct7666120
93777800
102059344
111187241
12833900
13571461
143b86c0
152aa299
hex1f6c50

2059344 has 100 divisors (see below), whose sum is σ = 6841824. Its totient is φ = 585792.

The previous prime is 2059339. The next prime is 2059367. The reversal of 2059344 is 4439502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8959 + ... + 9185.

22059344 is an apocalyptic number.

2059344 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 2059344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420912).

2059344 is an abundant number, since it is smaller than the sum of its proper divisors (4782480).

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

2059344 is a wasteful number, since it uses less digits than its factorization.

2059344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2059344 is about 1435.0414628156. The cubic root of 2059344 is about 127.2261249295.

The spelling of 2059344 in words is "two million, fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 227 252 324 336 378 432 454 504 567 648 681 756 908 1008 1134 1296 1362 1512 1589 1816 2043 2268 2724 3024 3178 3632 4086 4536 4767 5448 6129 6356 8172 9072 9534 10896 12258 12712 14301 16344 18387 19068 24516 25424 28602 32688 36774 38136 42903 49032 57204 73548 76272 85806 98064 114408 128709 147096 171612 228816 257418 294192 343224 514836 686448 1029672 2059344