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47234340 = 223559719
BaseRepresentation
bin1011010000101…
…1110100100100
310021212202100000
42310023310210
544042444330
64404221300
71112325306
oct264136444
9107782300
1047234340
112473194a
121399a830
139a2a61a
1463b7976
154230560
hex2d0bd24

47234340 has 72 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 12594528.

The previous prime is 47234333. The next prime is 47234353. The reversal of 47234340 is 4343274.

47234340 is a nontrivial binomial coefficient, being equal to C(9720, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 247234340 is an apocalyptic number.

47234340 is the 9719-th triangular number and also the 4860-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

47234340 is an abundant number, since it is smaller than the sum of its proper divisors (101365020).

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

47234340 is a wasteful number, since it uses less digits than its factorization.

47234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 47234340 is about 6872.7243506487. The cubic root of 47234340 is about 361.4813957127.

It can be divided in two parts, 47234 and 340, that added together give a palindrome (47574).

The spelling of 47234340 in words is "forty-seven million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 9719 19438 29157 38876 48595 58314 87471 97190 116628 145785 174942 194380 262413 291570 349884 437355 524826 583140 787239 874710 1049652 1312065 1574478 1749420 2361717 2624130 3148956 3936195 4723434 5248260 7872390 9446868 11808585 15744780 23617170 47234340