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34540660 = 22571122039
BaseRepresentation
bin1000001111000…
…0110001110100
32101222211212201
42003300301310
532320300120
63232154244
7566406430
oct203606164
971884781
1034540660
1118551a00
12b698984
13720497b
1448319c0
15307440a
hex20f0c74

34540660 has 72 divisors (see below), whose sum is σ = 91163520. Its totient is φ = 10760640.

The previous prime is 34540657. The next prime is 34540663. The reversal of 34540660 is 6604543.

It is an interprime number because it is at equal distance from previous prime (34540657) and next prime (34540663).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540663) 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 23 ways as a sum of consecutive naturals, for example, 15921 + ... + 17959.

It is an arithmetic number, because the mean of its divisors is an integer number (1266160).

Almost surely, 234540660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

34540660 is an abundant number, since it is smaller than the sum of its proper divisors (56622860).

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

34540660 is a wasteful number, since it uses less digits than its factorization.

34540660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 34540660 is about 5877.1302520873. The cubic root of 34540660 is about 325.6693424263.

The spelling of 34540660 in words is "thirty-four million, five hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2039 2420 3388 4078 4235 8156 8470 10195 14273 16940 20390 22429 28546 40780 44858 57092 71365 89716 112145 142730 157003 224290 246719 285460 314006 448580 493438 628012 785015 986876 1233595 1570030 1727033 2467190 3140060 3454066 4934380 6908132 8635165 17270330 34540660