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2034288 = 243317277
BaseRepresentation
bin111110000101001110000
310211100112000
413300221300
51010044123
6111334000
723201604
oct7605160
93740460
102034288
11116a433
12821300
13562c29
143ad504
152a2b43
hex1f0a70

2034288 has 80 divisors (see below), whose sum is σ = 6204960. Its totient is φ = 635904.

The previous prime is 2034283. The next prime is 2034317. The reversal of 2034288 is 8824302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7206 + ... + 7482.

It is an arithmetic number, because the mean of its divisors is an integer number (77562).

22034288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102480).

2034288 is an abundant number, since it is smaller than the sum of its proper divisors (4170672).

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

2034288 is a wasteful number, since it uses less digits than its factorization.

2034288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2034288 is about 1426.2846840656. The cubic root of 2034288 is about 126.7080320424.

The spelling of 2034288 in words is "two million, thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 277 306 408 432 459 554 612 816 831 918 1108 1224 1662 1836 2216 2448 2493 3324 3672 4432 4709 4986 6648 7344 7479 9418 9972 13296 14127 14958 18836 19944 28254 29916 37672 39888 42381 56508 59832 75344 84762 113016 119664 127143 169524 226032 254286 339048 508572 678096 1017144 2034288