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33898240 = 28571373
BaseRepresentation
bin1000000101001…
…1111100000000
32100210012122101
42001103330000
532134220430
63210320144
7561062455
oct201237400
970705571
1033898240
1118153282
12b429054
13703b43c
14470582c
152e98dca
hex2053f00

33898240 has 72 divisors (see below), whose sum is σ = 82561248. Its totient is φ = 13332480.

The previous prime is 33898211. The next prime is 33898247. The reversal of 33898240 is 4289833.

It is a super-2 number, since 2×338982402 = 2298181350195200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33898240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33898247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90694 + ... + 91066.

It is an arithmetic number, because the mean of its divisors is an integer number (1146684).

Almost surely, 233898240 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 33898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280624).

33898240 is an abundant number, since it is smaller than the sum of its proper divisors (48663008).

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

33898240 is an equidigital number, since it uses as much as digits as its factorization.

33898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 33898240 is about 5822.2195080570. The cubic root of 33898240 is about 323.6376582336.

The spelling of 33898240 in words is "thirty-three million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 373 568 640 710 746 1136 1280 1420 1492 1865 2272 2840 2984 3730 4544 5680 5968 7460 9088 11360 11936 14920 18176 22720 23872 26483 29840 45440 47744 52966 59680 90880 95488 105932 119360 132415 211864 238720 264830 423728 477440 529660 847456 1059320 1694912 2118640 3389824 4237280 6779648 8474560 16949120 33898240