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2743469340 = 2235377915643
BaseRepresentation
bin1010001110000110…
…0000010100011100
321002012022200102120
42203201200110130
521104312004330
61132122022540
7124662050613
oct24341402434
97065280376
102743469340
111188687137
12646947a50
133494c6451
141c050a87a
15110cbec10
hexa386051c

2743469340 has 96 divisors (see below), whose sum is σ = 7989703680. Its totient is φ = 702763776.

The previous prime is 2743469293. The next prime is 2743469357. The reversal of 2743469340 is 439643472.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2743469292 and 2743469301.

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, 167559 + ... + 183201.

It is an arithmetic number, because the mean of its divisors is an integer number (83226080).

Almost surely, 22743469340 is an apocalyptic number.

2743469340 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 2743469340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994851840).

2743469340 is an abundant number, since it is smaller than the sum of its proper divisors (5246234340).

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

2743469340 is a wasteful number, since it uses less digits than its factorization.

2743469340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 2743469340 is about 52378.1379966871. The cubic root of 2743469340 is about 1399.9097458824.

The spelling of 2743469340 in words is "two billion, seven hundred forty-three million, four hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 8769 11692 14615 15643 17538 29230 31286 35076 43845 46929 58460 62572 78215 87690 93858 156430 175380 187716 234645 312860 469290 578791 938580 1157582 1235797 1736373 2315164 2471594 2893955 3472746 3707391 4943188 5787910 6178985 6945492 7414782 8681865 11575820 12357970 14829564 17363730 18536955 24715940 34727460 37073910 45724489 74147820 91448978 137173467 182897956 228622445 274346934 457244890 548693868 685867335 914489780 1371734670 2743469340