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33740028 = 22327231617
BaseRepresentation
bin1000000010110…
…1010011111100
32100111011121200
42000231103330
532114140103
63203055500
7556533300
oct200552374
970434550
1033740028
1118055423
12b371590
136cb441a
1446a3d00
152e670a3
hex202d4fc

33740028 has 108 divisors (see below), whose sum is σ = 102578112. Its totient is φ = 9313920.

The previous prime is 33739999. The next prime is 33740039. The reversal of 33740028 is 82004733.

It is a super-2 number, since 2×337400282 = 2276778978881568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33739983 and 33740010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54376 + ... + 54992.

Almost surely, 233740028 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 33740028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51289056).

33740028 is an abundant number, since it is smaller than the sum of its proper divisors (68838084).

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

33740028 is a wasteful number, since it uses less digits than its factorization.

33740028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33740028 is about 5808.6167027959. The cubic root of 33740028 is about 323.1333721877.

The spelling of 33740028 in words is "thirty-three million, seven hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 617 651 868 882 1116 1234 1302 1519 1764 1851 1953 2468 2604 3038 3702 3906 4319 4557 5553 6076 7404 7812 8638 9114 11106 12957 13671 17276 18228 19127 22212 25914 27342 30233 38254 38871 51828 54684 57381 60466 76508 77742 90699 114762 120932 133889 155484 172143 181398 229524 267778 272097 344286 362796 401667 535556 544194 688572 803334 937223 1088388 1205001 1606668 1874446 2410002 2811669 3748892 4820004 5623338 8435007 11246676 16870014 33740028