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2734244500 = 2253133711369
BaseRepresentation
bin1010001011111001…
…0100001010010100
321001112222000022211
42202332110022110
521044431311000
61131152203204
7124520460211
oct24276241224
97045860284
102734244500
1111834563a9
12643839504
13347616670
141bd1c8b08
1511009b7ba
hexa2f94294

2734244500 has 96 divisors (see below), whose sum is σ = 6605333280. Its totient is φ = 982195200.

The previous prime is 2734244479. The next prime is 2734244543. The reversal of 2734244500 is 54424372.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1750920336 + 983324164 = 41844^2 + 31358^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234816 + ... + 246184.

It is an arithmetic number, because the mean of its divisors is an integer number (68805555).

Almost surely, 22734244500 is an apocalyptic number.

2734244500 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 2734244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302666640).

2734244500 is an abundant number, since it is smaller than the sum of its proper divisors (3871088780).

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

2734244500 is a wasteful number, since it uses less digits than its factorization.

2734244500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 2734244500 is about 52290.0038248230. The cubic root of 2734244500 is about 1398.3389313192.

Adding to 2734244500 its reverse (54424372), we get a palindrome (2788668872).

The spelling of 2734244500 in words is "two billion, seven hundred thirty-four million, two hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 125 130 148 185 250 260 325 370 481 500 650 740 925 962 1300 1625 1850 1924 2405 3250 3700 4625 4810 6500 9250 9620 11369 12025 18500 22738 24050 45476 48100 56845 60125 113690 120250 147797 227380 240500 284225 295594 420653 568450 591188 738985 841306 1136900 1421125 1477970 1682612 2103265 2842250 2955940 3694925 4206530 5468489 5684500 7389850 8413060 10516325 10936978 14779700 18474625 21032650 21873956 27342445 36949250 42065300 52581625 54684890 73898500 105163250 109369780 136712225 210326500 273424450 546848900 683561125 1367122250 2734244500