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34730540 = 22513312139
BaseRepresentation
bin1000010001111…
…1001000101100
32102100111100022
42010133020230
532342334130
63240221312
7601130135
oct204371054
972314308
1034730540
1118671629
12b76a838
137270220
144880c8c
1530b07e5
hex211f22c

34730540 has 72 divisors (see below), whose sum is σ = 81743760. Its totient is φ = 12320640.

The previous prime is 34730539. The next prime is 34730557. The reversal of 34730540 is 4503743.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 249791 + ... + 249929.

It is an arithmetic number, because the mean of its divisors is an integer number (1135330).

Almost surely, 234730540 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 34730540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40871880).

34730540 is an abundant number, since it is smaller than the sum of its proper divisors (47013220).

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

34730540 is a wasteful number, since it uses less digits than its factorization.

34730540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 34730540 is about 5893.2622544733. The cubic root of 34730540 is about 326.2650184168.

The spelling of 34730540 in words is "thirty-four million, seven hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 139 155 260 278 310 403 556 620 695 806 961 1390 1612 1807 1922 2015 2780 3614 3844 4030 4309 4805 7228 8060 8618 9035 9610 12493 17236 18070 19220 21545 24986 36140 43090 49972 56017 62465 86180 112034 124930 133579 224068 249860 267158 280085 534316 560170 667895 1120340 1335790 1736527 2671580 3473054 6946108 8682635 17365270 34730540