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34011540 = 22325188953
BaseRepresentation
bin1000000110111…
…1100110010100
32100222222001200
42001233212110
532201332130
63212552500
7562044003
oct201574624
970888050
1034011540
1118220412
12b482730
13707ab94
144734c3a
152ebc760
hex206f994

34011540 has 36 divisors (see below), whose sum is σ = 103168884. Its totient is φ = 9069696.

The previous prime is 34011521. The next prime is 34011541. The reversal of 34011540 is 4511043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 26193924 = 2796^2 + 5118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94297 + ... + 94656.

Almost surely, 234011540 is an apocalyptic number.

34011540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34011540 is an abundant number, since it is smaller than the sum of its proper divisors (69157344).

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

34011540 is a wasteful number, since it uses less digits than its factorization.

34011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188968 (or 188963 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34011540 is about 5831.9413577299. The cubic root of 34011540 is about 323.9978280604.

Adding to 34011540 its reverse (4511043), we get a palindrome (38522583).

The spelling of 34011540 in words is "thirty-four million, eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 188953 377906 566859 755812 944765 1133718 1700577 1889530 2267436 2834295 3401154 3779060 5668590 6802308 8502885 11337180 17005770 34011540