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33940242 = 23372101127
BaseRepresentation
bin1000000101111…
…0001100010010
32100212100021000
42001132030102
532142041432
63211242430
7561326100
oct201361422
970770230
1033940242
1118181896
12b449416
1370545ab
144716c70
152ea657c
hex205e312

33940242 has 96 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 9525600.

The previous prime is 33940229. The next prime is 33940259. The reversal of 33940242 is 24204933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267183 + ... + 267309.

It is an arithmetic number, because the mean of its divisors is an integer number (930240).

Almost surely, 233940242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33940242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

33940242 is an abundant number, since it is smaller than the sum of its proper divisors (55362798).

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

33940242 is a wasteful number, since it uses less digits than its factorization.

33940242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33940242 is about 5825.8254350778. The cubic root of 33940242 is about 323.7712720379.

The spelling of 33940242 in words is "thirty-three million, nine hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 127 147 189 202 254 294 303 378 381 441 606 707 762 882 889 909 1143 1323 1414 1778 1818 2121 2286 2646 2667 2727 3429 4242 4949 5334 5454 6223 6363 6858 8001 9898 12446 12726 12827 14847 16002 18669 19089 24003 25654 29694 37338 38178 38481 44541 48006 56007 76962 89082 89789 112014 115443 133623 168021 179578 230886 267246 269367 336042 346329 538734 628523 692658 808101 1257046 1616202 1885569 2424303 3771138 4848606 5656707 11313414 16970121 33940242