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34315440 = 2435142981
BaseRepresentation
bin1000001011100…
…1110010110000
32101120101221020
42002321302300
532241043230
63223255440
7564451005
oct202716260
971511836
1034315440
1118408775
12b5aa580
1371562c3
1447b38ac
15302c810
hex20b9cb0

34315440 has 40 divisors (see below), whose sum is σ = 106378608. Its totient is φ = 9150720.

The previous prime is 34315423. The next prime is 34315441. The reversal of 34315440 is 4451343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34315440.

It is not an unprimeable number, because it can be changed into a prime (34315441) 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 7 ways as a sum of consecutive naturals, for example, 71251 + ... + 71730.

Almost surely, 234315440 is an apocalyptic number.

34315440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34315440 is an abundant number, since it is smaller than the sum of its proper divisors (72063168).

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

34315440 is a wasteful number, since it uses less digits than its factorization.

34315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142997 (or 142991 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34315440 is about 5857.9382038393. The cubic root of 34315440 is about 324.9599635100.

Adding to 34315440 its reverse (4451343), we get a palindrome (38766783).

The spelling of 34315440 in words is "thirty-four million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 142981 285962 428943 571924 714905 857886 1143848 1429810 1715772 2144715 2287696 2859620 3431544 4289430 5719240 6863088 8578860 11438480 17157720 34315440