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34011240 = 23351511877
BaseRepresentation
bin1000000110111…
…1100001101000
32100222221122120
42001233201220
532201324430
63212551240
7562043064
oct201574150
970887576
1034011240
111822016a
12b482520
13707a9c3
144734aa4
152ebc610
hex206f868

34011240 has 64 divisors (see below), whose sum is σ = 102764160. Its totient is φ = 9004800.

The previous prime is 34011239. The next prime is 34011283. The reversal of 34011240 is 4211043.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 17182 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (1605690).

Almost surely, 234011240 is an apocalyptic number.

34011240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51382080).

34011240 is an abundant number, since it is smaller than the sum of its proper divisors (68752920).

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

34011240 is a wasteful number, since it uses less digits than its factorization.

34011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34011240 is about 5831.9156372499. The cubic root of 34011240 is about 323.9968754462.

Adding to 34011240 its reverse (4211043), we get a palindrome (38222283).

The spelling of 34011240 in words is "thirty-four million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 1877 2265 3020 3624 3754 4530 5631 6040 7508 9060 9385 11262 15016 18120 18770 22524 28155 37540 45048 56310 75080 112620 225240 283427 566854 850281 1133708 1417135 1700562 2267416 2834270 3401124 4251405 5668540 6802248 8502810 11337080 17005620 34011240