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34639880 = 23511217421
BaseRepresentation
bin1000010000100…
…1000000001000
32102011212222112
42010021000020
532331434010
63234241452
7600301622
oct204110010
972155875
1034639880
111860a500
12b726288
13723ab92
144859c12
153093a05
hex2109008

34639880 has 96 divisors (see below), whose sum is σ = 90924120. Its totient is φ = 11827200.

The previous prime is 34639849. The next prime is 34639883. The reversal of 34639880 is 8893643.

It can be written as a sum of positive squares in 4 ways, for example, as 21141604 + 13498276 = 4598^2 + 3674^2 .

It is not an unprimeable number, because it can be changed into a prime (34639883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82070 + ... + 82490.

Almost surely, 234639880 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 34639880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45462060).

34639880 is an abundant number, since it is smaller than the sum of its proper divisors (56284240).

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

34639880 is a wasteful number, since it uses less digits than its factorization.

34639880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 34639880 is about 5885.5653934010. The cubic root of 34639880 is about 325.9808788514.

The spelling of 34639880 in words is "thirty-four million, six hundred thirty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 421 440 484 605 680 748 842 935 968 1210 1496 1684 1870 2057 2105 2420 3368 3740 4114 4210 4631 4840 7157 7480 8228 8420 9262 10285 14314 16456 16840 18524 20570 23155 28628 35785 37048 41140 46310 50941 57256 71570 78727 82280 92620 101882 143140 157454 185240 203764 254705 286280 314908 393635 407528 509410 629816 787270 865997 1018820 1574540 1731994 2037640 3149080 3463988 4329985 6927976 8659970 17319940 34639880