Search a number
-
+
34345540 = 2251926771
BaseRepresentation
bin1000001100000…
…1001001000100
32101121221020001
42003001021010
532243024130
63224051044
7564634525
oct203011104
971557201
1034345540
1118429349
12b603a84
137166c08
1447c084c
1530366ca
hex20c1244

34345540 has 72 divisors (see below), whose sum is σ = 78345792. Its totient is φ = 12640320.

The previous prime is 34345511. The next prime is 34345547. The reversal of 34345540 is 4554343.

It is a super-2 number, since 2×343455402 = 2359232235783200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345499 and 34345508.

It is not an unprimeable number, because it can be changed into a prime (34345547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483705 + ... + 483775.

It is an arithmetic number, because the mean of its divisors is an integer number (1088136).

Almost surely, 234345540 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 34345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172896).

34345540 is an abundant number, since it is smaller than the sum of its proper divisors (44000252).

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

34345540 is a wasteful number, since it uses less digits than its factorization.

34345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 34345540 is about 5860.5068040230. The cubic root of 34345540 is about 325.0549492888.

Adding to 34345540 its reverse (4554343), we get a palindrome (38899883).

The spelling of 34345540 in words is "thirty-four million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 71 76 95 134 142 190 268 284 335 355 361 380 670 710 722 1273 1340 1349 1420 1444 1805 2546 2698 3610 4757 5092 5396 6365 6745 7220 9514 12730 13490 19028 23785 24187 25460 25631 26980 47570 48374 51262 90383 95140 96748 102524 120935 128155 180766 241870 256310 361532 451915 483740 512620 903830 1717277 1807660 3434554 6869108 8586385 17172770 34345540