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34224048 = 2432271877
BaseRepresentation
bin1000001010001…
…1011110110000
32101101202120100
42002203132300
532230132143
63221312400
7563620365
oct202433660
971352510
1034224048
1118356041
12b565700
137123821
14478c46c
1530106d3
hex20a37b0

34224048 has 60 divisors (see below), whose sum is σ = 96242848. Its totient is φ = 11352960.

The previous prime is 34224017. The next prime is 34224049. The reversal of 34224048 is 84042243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34224049) 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 11 ways as a sum of consecutive naturals, for example, 38586 + ... + 39462.

Almost surely, 234224048 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 34224048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121424).

34224048 is an abundant number, since it is smaller than the sum of its proper divisors (62018800).

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

34224048 is a wasteful number, since it uses less digits than its factorization.

34224048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34224048 is about 5850.1323061962. The cubic root of 34224048 is about 324.6712193807.

The spelling of 34224048 in words is "thirty-four million, two hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 877 1084 1626 1754 2168 2439 2631 3252 3508 4336 4878 5262 6504 7016 7893 9756 10524 13008 14032 15786 19512 21048 31572 39024 42096 63144 126288 237667 475334 713001 950668 1426002 1901336 2139003 2852004 3802672 4278006 5704008 8556012 11408016 17112024 34224048