Search a number
-
+
34640944 = 2413223557
BaseRepresentation
bin1000010000100…
…1010000110000
32102011221102221
42010021100300
532332002234
63234250424
7600305002
oct204112060
972157387
1034640944
1118610288
12b726a14
13723b500
14485a372
153093eb4
hex2109430

34640944 has 60 divisors (see below), whose sum is σ = 75972816. Its totient is φ = 15265536.

The previous prime is 34640939. The next prime is 34640953. The reversal of 34640944 is 44904643.

It is a happy number.

It is a super-2 number, since 2×346409442 = 2399990002422272, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61914 + ... + 62470.

Almost surely, 234640944 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 34640944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37986408).

34640944 is an abundant number, since it is smaller than the sum of its proper divisors (41331872).

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

34640944 is a wasteful number, since it uses less digits than its factorization.

34640944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 34640944 is about 5885.6557833431. The cubic root of 34640944 is about 325.9842164313.

The spelling of 34640944 in words is "thirty-four million, six hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 557 598 676 1114 1196 1352 2228 2392 2704 3887 4456 4784 7241 7774 8912 12811 14482 15548 25622 28964 31096 51244 57928 62192 94133 102488 115856 166543 188266 204976 333086 376532 666172 753064 1332344 1506128 2165059 2664688 4330118 8660236 17320472 34640944