Search a number
-
+
34135640 = 23571111083
BaseRepresentation
bin1000001000110…
…1111001011000
32101020021021222
42002031321120
532214320030
63215351212
7563101550
oct202157130
971207258
1034135640
11182a5680
12b522508
1370c2506
144768160
152ee43e5
hex208de58

34135640 has 64 divisors (see below), whose sum is σ = 95765760. Its totient is φ = 10638720.

The previous prime is 34135627. The next prime is 34135691. The reversal of 34135640 is 4653143.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2462 + ... + 8621.

It is an arithmetic number, because the mean of its divisors is an integer number (1496340).

Almost surely, 234135640 is an apocalyptic number.

It is an amenable number.

34135640 is an abundant number, since it is smaller than the sum of its proper divisors (61630120).

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

34135640 is a wasteful number, since it uses less digits than its factorization.

34135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112 (or 11108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 34135640 is about 5842.5713517252. The cubic root of 34135640 is about 324.3914133559.

Adding to 34135640 its reverse (4653143), we get a palindrome (38788783).

The spelling of 34135640 in words is "thirty-four million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 11083 22166 44332 55415 77581 88664 110830 121913 155162 221660 243826 310324 387905 443320 487652 609565 620648 775810 853391 975304 1219130 1551620 1706782 2438260 3103240 3413564 4266955 4876520 6827128 8533910 17067820 34135640