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34528104 = 23321337997
BaseRepresentation
bin1000001110110…
…1101101101000
32101222012122200
42003231231220
532314344404
63232020200
7566325012
oct203555550
971865580
1034528104
1118543526
12b691660
1371cc040
14482b1b2
153070839
hex20edb68

34528104 has 96 divisors (see below), whose sum is σ = 103532520. Its totient is φ = 10326528.

The previous prime is 34528057. The next prime is 34528121. The reversal of 34528104 is 40182543.

34528104 is a `hidden beast` number, since 34 + 528 + 104 = 666.

34528104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33663204 + 864900 = 5802^2 + 930^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34134 + ... + 35130.

Almost surely, 234528104 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 34528104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51766260).

34528104 is an abundant number, since it is smaller than the sum of its proper divisors (69004416).

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

34528104 is a wasteful number, since it uses less digits than its factorization.

34528104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 34528104 is about 5876.0619465761. The cubic root of 34528104 is about 325.6298758976.

The spelling of 34528104 in words is "thirty-four million, five hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 997 1332 1443 1924 1994 2664 2886 2991 3848 3988 4329 5772 5982 7976 8658 8973 11544 11964 12961 17316 17946 23928 25922 34632 35892 36889 38883 51844 71784 73778 77766 103688 110667 116649 147556 155532 221334 233298 295112 311064 332001 442668 466596 479557 664002 885336 933192 959114 1328004 1438671 1918228 2656008 2877342 3836456 4316013 5754684 8632026 11509368 17264052 34528104