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34130646 = 23411107179
BaseRepresentation
bin1000001000110…
…0101011010110
32101020000110000
42002030223112
532214140041
63215312130
7563051154
oct202145326
971200400
1034130646
11182a1950
12b51b646
1370c0164
1447663d4
152ee2bb6
hex208cad6

34130646 has 80 divisors (see below), whose sum is σ = 84680640. Its totient is φ = 10188720.

The previous prime is 34130617. The next prime is 34130653. The reversal of 34130646 is 64603143.

34130646 is a `hidden beast` number, since 3 + 4 + 13 + 0 + 646 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 190585 + ... + 190763.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508).

Almost surely, 234130646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42340320).

34130646 is an abundant number, since it is smaller than the sum of its proper divisors (50549994).

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

34130646 is a wasteful number, since it uses less digits than its factorization.

34130646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34130646 is about 5842.1439557751. The cubic root of 34130646 is about 324.3755932362.

Adding to 34130646 its reverse (64603143), we get a palindrome (98733789).

The spelling of 34130646 in words is "thirty-four million, one hundred thirty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 179 198 214 297 321 358 537 594 642 891 963 1074 1177 1611 1782 1926 1969 2354 2889 3222 3531 3938 4833 5778 5907 7062 8667 9666 10593 11814 14499 17334 17721 19153 21186 28998 31779 35442 38306 53163 57459 63558 95337 106326 114918 159489 172377 190674 210683 318978 344754 421366 517131 632049 1034262 1264098 1551393 1896147 3102786 3792294 5688441 11376882 17065323 34130646