Search a number
-
+
73434330 = 23352111289
BaseRepresentation
bin1000110000010…
…00010011011010
312010011211222000
410120020103122
5122244344310
611141541430
71551116154
oct430102332
9163154860
1073434330
11384a7332
1220714876
13122a1a88
149a77ad4
1566a84c0
hex46084da

73434330 has 64 divisors (see below), whose sum is σ = 196905600. Its totient is φ = 19474560.

The previous prime is 73434313. The next prime is 73434341. The reversal of 73434330 is 3343437.

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

It is a junction number, because it is equal to n+sod(n) for n = 73434294 and 73434303.

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, 56326 + ... + 57614.

It is an arithmetic number, because the mean of its divisors is an integer number (3076650).

Almost surely, 273434330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98452800).

73434330 is an abundant number, since it is smaller than the sum of its proper divisors (123471270).

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

73434330 is a wasteful number, since it uses less digits than its factorization.

73434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 73434330 is about 8569.3832916961. The cubic root of 73434330 is about 418.7611453186.

Adding to 73434330 its reverse (3343437), we get a palindrome (76777767).

The spelling of 73434330 in words is "seventy-three million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 633 1055 1266 1289 1899 2110 2578 3165 3798 3867 5697 6330 6445 7734 9495 11394 11601 12890 18990 19335 23202 28485 34803 38670 56970 58005 69606 116010 174015 271979 348030 543958 815937 1359895 1631874 2447811 2719790 4079685 4895622 7343433 8159370 12239055 14686866 24478110 36717165 73434330