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34000040 = 2353722973
BaseRepresentation
bin1000000110110…
…0110010101000
32100222101021202
42001230302220
532201000130
63212423332
7561665324
oct201546250
970871252
1034000040
1118212808
12b477b48
137075889
144730984
152eb9145
hex206cca8

34000040 has 32 divisors (see below), whose sum is σ = 78571080. Its totient is φ = 13231872.

The previous prime is 34000019. The next prime is 34000061. The reversal of 34000040 is 4000043.

Adding to 34000040 its reverse (4000043), we get a palindrome (38000083).

It is an interprime number because it is at equal distance from previous prime (34000019) and next prime (34000061).

It can be written as a sum of positive squares in 4 ways, for example, as 32649796 + 1350244 = 5714^2 + 1162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33999985 and 34000030.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10007 + ... + 12966.

Almost surely, 234000040 is an apocalyptic number.

It is an amenable number.

34000040 is an abundant number, since it is smaller than the sum of its proper divisors (44571040).

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

34000040 is a wasteful number, since it uses less digits than its factorization.

34000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23021 (or 23017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34000040 is about 5830.9553248160. The cubic root of 34000040 is about 323.9613071713.

The spelling of 34000040 in words is "thirty-four million, forty", and thus it is an aban number and an eban number.

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 22973 45946 91892 114865 183784 229730 459460 850001 918920 1700002 3400004 4250005 6800008 8500010 17000020 34000040