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33740340228 = 22327260731511
BaseRepresentation
bin11111011011000101…
…001011110000000100
310020002102101212120200
4133123011023300010
51023100011341403
623300004330500
72303055105600
oct373305136004
9106072355520
1033740340228
11133445a7001
1266576a3a30
13324927137a
1418c10ca500
15d271acca3
hex7db14bc04

33740340228 has 108 divisors (see below), whose sum is σ = 99379268352. Its totient is φ = 9623910240.

The previous prime is 33740340187. The next prime is 33740340247. The reversal of 33740340228 is 82204304733.

It is a super-2 number, since 2×337403402282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33740340192 and 33740340201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1054993 + ... + 1086503.

Almost surely, 233740340228 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 33740340228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49689634176).

33740340228 is an abundant number, since it is smaller than the sum of its proper divisors (65638928124).

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

33740340228 is a wasteful number, since it uses less digits than its factorization.

33740340228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32142 (or 32130 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 33740340228 in words is "thirty-three billion, seven hundred forty million, three hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 607 882 1214 1764 1821 2428 3642 4249 5463 7284 8498 10926 12747 16996 21852 25494 29743 31511 38241 50988 59486 63022 76482 89229 94533 118972 126044 152964 178458 189066 220577 267687 283599 356916 378132 441154 535374 567198 661731 882308 1070748 1134396 1323462 1544039 1985193 2646924 3088078 3970386 4632117 6176156 7940772 9264234 13896351 18528468 19127177 27792702 38254354 55585404 57381531 76508708 114763062 133890239 172144593 229526124 267780478 344289186 401670717 535560956 688578372 803341434 937231673 1205012151 1606682868 1874463346 2410024302 2811695019 3748926692 4820048604 5623390038 8435085057 11246780076 16870170114 33740340228