Search a number
-
+
33350240 = 2557112707
BaseRepresentation
bin111111100111…
…0001001100000
32022202100221002
41333032021200
532014201430
63150451132
7553321010
oct177161140
968670832
1033350240
1117909590
12b203aa8
136ba8b91
144601c40
152ddb845
hex1fce260

33350240 has 96 divisors (see below), whose sum is σ = 98267904. Its totient is φ = 10391040.

The previous prime is 33350237. The next prime is 33350257. The reversal of 33350240 is 4205333.

It is a super-2 number, since 2×333502402 = 2224477016115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10967 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (1023624).

Almost surely, 233350240 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 33350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49133952).

33350240 is an abundant number, since it is smaller than the sum of its proper divisors (64917664).

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

33350240 is a wasteful number, since it uses less digits than its factorization.

33350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33350240 is about 5774.9666665705. The cubic root of 33350240 is about 321.8841963628.

Adding to 33350240 its reverse (4205333), we get a palindrome (37555573).

The spelling of 33350240 in words is "thirty-three million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 2707 3080 5414 6160 10828 12320 13535 18949 21656 27070 29777 37898 43312 54140 59554 75796 86624 94745 108280 119108 148885 151592 189490 208439 216560 238216 297770 303184 378980 416878 433120 476432 595540 606368 757960 833756 952864 1042195 1191080 1515920 1667512 2084390 2382160 3031840 3335024 4168780 4764320 6670048 8337560 16675120 33350240