Search a number
-
+
73245414 = 23112233433
BaseRepresentation
bin1000101110110…
…10001011100110
312002211020211010
410113122023212
5122222323124
611133523050
71546401324
oct427321346
9162736733
1073245414
1138388400
1220643486
1312236aa8
149a28d14
15666c529
hex45da2e6

73245414 has 48 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 22049280.

The previous prime is 73245391. The next prime is 73245427. The reversal of 73245414 is 41454237.

It is a congruent number.

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, 168942 + ... + 169374.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 273245414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73245414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688).

73245414 is an abundant number, since it is smaller than the sum of its proper divisors (88837962).

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

73245414 is a wasteful number, since it uses less digits than its factorization.

73245414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 73245414 is about 8558.3534631376. The cubic root of 73245414 is about 418.4017374990.

The spelling of 73245414 in words is "seventy-three million, two hundred forty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 233 242 363 433 466 699 726 866 1299 1398 2563 2598 4763 5126 7689 9526 14289 15378 28193 28578 52393 56386 84579 100889 104786 157179 169158 201778 302667 314358 605334 1109779 2219558 3329337 6658674 12207569 24415138 36622707 73245414