Search a number
-
+
34004540 = 22516710181
BaseRepresentation
bin1000000110110…
…1111000111100
32100222121110102
42001231320330
532201121130
63212500232
7562014413
oct201557074
970877412
1034004540
1118216129
12b47a678
13707793b
14473247a
152eba645
hex206de3c

34004540 has 24 divisors (see below), whose sum is σ = 71844192. Its totient is φ = 13519040.

The previous prime is 34004513. The next prime is 34004561. The reversal of 34004540 is 4540043.

It is a happy number.

34004540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340045402 = 2312617481223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751 + ... + 8430.

It is an arithmetic number, because the mean of its divisors is an integer number (2993508).

Almost surely, 234004540 is an apocalyptic number.

It is an amenable number.

34004540 is an abundant number, since it is smaller than the sum of its proper divisors (37839652).

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

34004540 is a wasteful number, since it uses less digits than its factorization.

34004540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34004540 is about 5831.3411836386. The cubic root of 34004540 is about 323.9755989346.

Adding to 34004540 its reverse (4540043), we get a palindrome (38544583).

The spelling of 34004540 in words is "thirty-four million, four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 3340 10181 20362 40724 50905 101810 203620 1700227 3400454 6800908 8501135 17002270 34004540