Search a number
-
+
34930056 = 23371931353
BaseRepresentation
bin1000010100111…
…1110110001000
32102201122000210
42011033312020
532420230211
63244401120
7602620620
oct205176610
972648023
1034930056
1118798517
12b8461a0
13730cc95
1448d3880
1530ee9a6
hex214fd88

34930056 has 128 divisors (see below), whose sum is σ = 108748800. Its totient is φ = 9123840.

The previous prime is 34930039. The next prime is 34930111. The reversal of 34930056 is 65003943.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98776 + ... + 99128.

It is an arithmetic number, because the mean of its divisors is an integer number (849600).

Almost surely, 234930056 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 34930056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54374400).

34930056 is an abundant number, since it is smaller than the sum of its proper divisors (73818744).

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

34930056 is a wasteful number, since it uses less digits than its factorization.

34930056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 34930056 is about 5910.1654799168. The cubic root of 34930056 is about 326.8885890788. Note that the first 3 decimals are identical.

Adding to 34930056 its reverse (65003943), we get a palindrome (99933999).

The spelling of 34930056 in words is "thirty-four million, nine hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 217 228 248 266 353 372 399 434 456 532 589 651 706 744 798 868 1059 1064 1178 1302 1412 1596 1736 1767 2118 2356 2471 2604 2824 3192 3534 4123 4236 4712 4942 5208 6707 7068 7413 8246 8472 9884 10943 12369 13414 14136 14826 16492 19768 20121 21886 24738 26828 29652 32829 32984 40242 43772 46949 49476 53656 59304 65658 76601 80484 87544 93898 98952 131316 140847 153202 160968 187796 207917 229803 262632 281694 306404 375592 415834 459606 563388 612808 623751 831668 919212 1126776 1247502 1455419 1663336 1838424 2495004 2910838 4366257 4990008 5821676 8732514 11643352 17465028 34930056