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2743432944 = 243729281551
BaseRepresentation
bin1010001110000101…
…0111011011110000
321002012020211111120
42203201113123300
521104304323234
61132121142240
7124661536530
oct24341273360
97065224446
102743432944
11118866185a
1264692a980
133494b2a05
141c04db4c0
15110cb4049
hexa38576f0

2743432944 has 80 divisors (see below), whose sum is σ = 8378987520. Its totient is φ = 756806400.

The previous prime is 2743432891. The next prime is 2743432957. The reversal of 2743432944 is 4492343472.

2743432944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2743432896 and 2743432905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131032 + ... + 150519.

It is an arithmetic number, because the mean of its divisors is an integer number (104737344).

Almost surely, 22743432944 is an apocalyptic number.

2743432944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2743432944 is an abundant number, since it is smaller than the sum of its proper divisors (5635554576).

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

2743432944 is a wasteful number, since it uses less digits than its factorization.

2743432944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281598 (or 281592 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 2743432944 is about 52377.7905605038. The cubic root of 2743432944 is about 1399.9035552609.

It can be divided in two parts, 27434 and 32944, that added together give a triangular number (60378 = T347).

The spelling of 2743432944 in words is "two billion, seven hundred forty-three million, four hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 281551 563102 844653 1126204 1689306 1970857 2252408 3378612 3941714 4504816 5912571 6757224 7883428 8164979 11825142 13514448 15766856 16329958 23650284 24494937 31533712 32659916 47300568 48989874 57154853 65319832 94601136 97979748 114309706 130639664 171464559 195959496 228619412 342929118 391918992 457238824 685858236 914477648 1371716472 2743432944