Search a number
-
+
58343064 = 23313672791
BaseRepresentation
bin1101111010001…
…1111010011000
311001210010122020
43132203322120
5104413434224
65442254440
71305623253
oct336437230
9131703566
1058343064
112aa2a00a
1217657420
13c119a30
147a6a09a
1551c6c79
hex37a3e98

58343064 has 64 divisors (see below), whose sum is σ = 159479040. Its totient is φ = 17677440.

The previous prime is 58343059. The next prime is 58343071. The reversal of 58343064 is 46034385.

It is a congruent number.

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, 19509 + ... + 22299.

It is an arithmetic number, because the mean of its divisors is an integer number (2491860).

Almost surely, 258343064 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 58343064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79739520).

58343064 is an abundant number, since it is smaller than the sum of its proper divisors (101135976).

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

58343064 is a wasteful number, since it uses less digits than its factorization.

58343064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 58343064 is about 7638.2631533615. The cubic root of 58343064 is about 387.8493587456.

The spelling of 58343064 in words is "fifty-eight million, three hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 2791 3484 5226 5582 6968 8373 10452 11164 16746 20904 22328 33492 36283 66984 72566 108849 145132 186997 217698 290264 373994 435396 560991 747988 870792 1121982 1495976 2243964 2430961 4487928 4861922 7292883 9723844 14585766 19447688 29171532 58343064