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34241340 = 2235781527
BaseRepresentation
bin1000001010011…
…1101100111100
32101102122021210
42002213230330
532231210330
63221524420
7564021660
oct202475474
971378253
1034241340
1118368031
12b573710
13712b663
1447948a0
1530158b0
hex20a7b3c

34241340 has 48 divisors (see below), whose sum is σ = 109573632. Its totient is φ = 7826496.

The previous prime is 34241321. The next prime is 34241341. The reversal of 34241340 is 4314243.

34241340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40344 + ... + 41183.

It is an arithmetic number, because the mean of its divisors is an integer number (2282784).

Almost surely, 234241340 is an apocalyptic number.

34241340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34241340 is an abundant number, since it is smaller than the sum of its proper divisors (75332292).

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

34241340 is a wasteful number, since it uses less digits than its factorization.

34241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81546 (or 81544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34241340 is about 5851.6100348537. The cubic root of 34241340 is about 324.7258911663.

Adding to 34241340 its reverse (4314243), we get a palindrome (38555583).

The spelling of 34241340 in words is "thirty-four million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 81527 163054 244581 326108 407635 489162 570689 815270 978324 1141378 1222905 1630540 1712067 2282756 2445810 2853445 3424134 4891620 5706890 6848268 8560335 11413780 17120670 34241340