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2803242834 = 2327292632917
BaseRepresentation
bin1010011100010110…
…0001011101010010
321020100210111020200
42213011201131102
521220112232314
61142055120030
7126316112430
oct24705413522
97210714220
102803242834
1112093a2917
12662973016
133589c4292
141c8429d50
1511617a709
hexa7161752

2803242834 has 96 divisors (see below), whose sum is σ = 7210494720. Its totient is φ = 770103936.

The previous prime is 2803242811. The next prime is 2803242839. The reversal of 2803242834 is 4382423082.

It is a happy number.

2803242834 is a `hidden beast` number, since 280 + 324 + 28 + 34 = 666.

It is not an unprimeable number, because it can be changed into a prime (2803242839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959544 + ... + 962460.

It is an arithmetic number, because the mean of its divisors is an integer number (75109320).

Almost surely, 22803242834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2803242834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605247360).

2803242834 is an abundant number, since it is smaller than the sum of its proper divisors (4407251886).

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

2803242834 is a wasteful number, since it uses less digits than its factorization.

2803242834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2803242834 is about 52945.6592555046. The cubic root of 2803242834 is about 1410.0036607721.

The spelling of 2803242834 in words is "two billion, eight hundred three million, two hundred forty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 263 406 522 526 609 789 1218 1578 1827 1841 2367 2917 3654 3682 4734 5523 5834 7627 8751 11046 15254 16569 17502 20419 22881 26253 33138 40838 45762 52506 53389 61257 68643 84593 106778 122514 137286 160167 169186 183771 253779 320334 367542 480501 507558 592151 761337 767171 961002 1184302 1522674 1534342 1776453 2301513 3552906 4603026 5329359 5370197 6904539 10658718 10740394 13809078 16110591 22247959 32221182 44495918 48331773 66743877 96663546 133487754 155735713 200231631 311471426 400463262 467207139 934414278 1401621417 2803242834