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58340416 = 263771347
BaseRepresentation
bin1101111010001…
…1010001000000
311001210000000011
43132203101000
5104413343131
65442234304
71305612451
oct336432100
9131700004
1058340416
112aa28022
1217655994
13c118774
147a69128
1551c60b1
hex37a3440

58340416 has 56 divisors (see below), whose sum is σ = 120920256. Its totient is φ = 27901440.

The previous prime is 58340411. The next prime is 58340423. The reversal of 58340416 is 61404385.

It is a happy number.

It is a super-3 number, since 3×583404163 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (58340411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 167955 + ... + 168301.

Almost surely, 258340416 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 58340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60460128).

58340416 is an abundant number, since it is smaller than the sum of its proper divisors (62579840).

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

58340416 is a wasteful number, since it uses less digits than its factorization.

58340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 58340416 is about 7638.0898135594. The cubic root of 58340416 is about 387.8434909208.

The spelling of 58340416 in words is "fifty-eight million, three hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 71 74 142 148 284 296 347 568 592 694 1136 1184 1388 2272 2368 2627 2776 4544 5254 5552 10508 11104 12839 21016 22208 24637 25678 42032 49274 51356 84064 98548 102712 168128 197096 205424 394192 410848 788384 821696 911569 1576768 1823138 3646276 7292552 14585104 29170208 58340416