Search a number
-
+
58037034 = 23117911131
BaseRepresentation
bin1101110101100…
…1001100101010
311001012120211210
43131121030222
5104324141114
65431533550
71303210116
oct335311452
9131176753
1058037034
112a8400a0
121752a2b6
13c040653
1479ca746
155166259
hex375932a

58037034 has 32 divisors (see below), whose sum is σ = 128240640. Its totient is φ = 17362800.

The previous prime is 58037029. The next prime is 58037041. The reversal of 58037034 is 43073085.

It is a super-3 number, since 3×580370343 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 58036992 and 58037010.

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, 352 + ... + 10779.

It is an arithmetic number, because the mean of its divisors is an integer number (4007520).

Almost surely, 258037034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58037034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120320).

58037034 is an abundant number, since it is smaller than the sum of its proper divisors (70203606).

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

58037034 is a wasteful number, since it uses less digits than its factorization.

58037034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 58037034 is about 7618.2041190821. The cubic root of 58037034 is about 387.1700339162.

The spelling of 58037034 in words is "fifty-eight million, thirty-seven thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 11131 22262 33393 66786 122441 244882 367323 734646 879349 1758698 2638047 5276094 9672839 19345678 29018517 58037034