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34320540 = 2235975897
BaseRepresentation
bin1000001011101…
…1000010011100
32101120122221010
42002323002130
532241224130
63223335220
7564501612
oct202730234
971518833
1034320540
1118411591
12b5b1510
137158717
1447b56b2
15302e0b0
hex20bb09c

34320540 has 48 divisors (see below), whose sum is σ = 97104672. Its totient is φ = 9056256.

The previous prime is 34320509. The next prime is 34320541. The reversal of 34320540 is 4502343.

It is a happy number.

It is a super-3 number, since 3×343205403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320541) by changing a digit.

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, 2872 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (2023014).

Almost surely, 234320540 is an apocalyptic number.

34320540 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 34320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48552336).

34320540 is an abundant number, since it is smaller than the sum of its proper divisors (62784132).

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

34320540 is a wasteful number, since it uses less digits than its factorization.

34320540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34320540 is about 5858.3734944095. The cubic root of 34320540 is about 324.9760613532.

Adding to 34320540 its reverse (4502343), we get a palindrome (38822883).

The spelling of 34320540 in words is "thirty-four million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 5897 11794 17691 23588 29485 35382 58970 70764 88455 117940 176910 353820 572009 1144018 1716027 2288036 2860045 3432054 5720090 6864108 8580135 11440180 17160270 34320540