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34240140 = 223251117293
BaseRepresentation
bin1000001010011…
…1011010001100
32101102120122100
42002213122030
532231141030
63221515100
7564015324
oct202473214
971376570
1034240140
1118367140
12b572a90
13712ac4c
144794284
153015360
hex20a768c

34240140 has 72 divisors (see below), whose sum is σ = 113310288. Its totient is φ = 8300160.

The previous prime is 34240117. The next prime is 34240181. The reversal of 34240140 is 4104243.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6667 + ... + 10626.

It is an arithmetic number, because the mean of its divisors is an integer number (1573754).

Almost surely, 234240140 is an apocalyptic number.

34240140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34240140 is an abundant number, since it is smaller than the sum of its proper divisors (79070148).

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

34240140 is a wasteful number, since it uses less digits than its factorization.

34240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34240140 is about 5851.5074980726. The cubic root of 34240140 is about 324.7220977437.

Adding to 34240140 its reverse (4104243), we get a palindrome (38344383).

The spelling of 34240140 in words is "thirty-four million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 17293 34586 51879 69172 86465 103758 155637 172930 190223 207516 259395 311274 345860 380446 518790 570669 622548 760892 778185 951115 1037580 1141338 1556370 1712007 1902230 2282676 2853345 3112740 3424014 3804460 5706690 6848028 8560035 11413380 17120070 34240140