Search a number
-
+
43340004 = 223217233079
BaseRepresentation
bin1010010101010…
…1000011100100
310000112220022100
42211111003210
542043340004
64144532100
71034245461
oct245250344
9100486270
1043340004
1122511a94
1212621030
138c95b96
145a82668
153c11739
hex29550e4

43340004 has 72 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13001472.

The previous prime is 43339999. The next prime is 43340023. The reversal of 43340004 is 40004334.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12537 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 243340004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

43340004 is an abundant number, since it is smaller than the sum of its proper divisors (77740956).

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

43340004 is a wasteful number, since it uses less digits than its factorization.

43340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 43340004 is about 6583.3125400516. The cubic root of 43340004 is about 351.2607700079.

Adding to 43340004 its reverse (40004334), we get a palindrome (83344338).

The spelling of 43340004 in words is "forty-three million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3079 3519 4692 6158 7038 9237 12316 14076 18474 27711 36948 52343 55422 70817 104686 110844 141634 157029 209372 212451 283268 314058 424902 471087 628116 637353 849804 942174 1203889 1274706 1884348 2407778 2549412 3611667 4815556 7223334 10835001 14446668 21670002 43340004