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60434016 = 2532292749
BaseRepresentation
bin1110011010001…
…0011001100000
311012201100212220
43212202121200
5110432342031
65555151040
71332452316
oct346423140
9135640786
1060434016
1131127a75
12182a5480
13c69c696
1480520b6
15548b596
hex39a2660

60434016 has 48 divisors (see below), whose sum is σ = 159390000. Its totient is φ = 20049408.

The previous prime is 60433979. The next prime is 60434027. The reversal of 60434016 is 61043406.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 20610 + ... + 23358.

It is an arithmetic number, because the mean of its divisors is an integer number (3320625).

Almost surely, 260434016 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 60434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79695000).

60434016 is an abundant number, since it is smaller than the sum of its proper divisors (98955984).

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

60434016 is a wasteful number, since it uses less digits than its factorization.

60434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 60434016 is about 7773.9318237299. The cubic root of 60434016 is about 392.4284500462.

The spelling of 60434016 in words is "sixty million, four hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 2749 3664 5496 5498 7328 8247 10992 10996 16494 21984 21992 32988 43984 65976 87968 131952 263904 629521 1259042 1888563 2518084 3777126 5036168 7554252 10072336 15108504 20144672 30217008 60434016