Search a number
-
+
33423104 = 281121383
BaseRepresentation
bin111111101111…
…1111100000000
32022220001212202
41333133330000
532024014404
63152212332
7554043311
oct177377400
968801782
1033423104
1117959300
12b23a0a8
136c030b0
144620608
152e0321e
hex1fdff00

33423104 has 108 divisors (see below), whose sum is σ = 79924488. Its totient is φ = 13854720.

The previous prime is 33423101. The next prime is 33423113. The reversal of 33423104 is 40132433.

It is a super-2 number, since 2×334231042 = 2234207761989632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33423101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402647 + ... + 402729.

Almost surely, 233423104 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 33423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39962244).

33423104 is an abundant number, since it is smaller than the sum of its proper divisors (46501384).

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

33423104 is a wasteful number, since it uses less digits than its factorization.

33423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 33423104 is about 5781.2718323912. The cubic root of 33423104 is about 322.1184446530.

Adding to 33423104 its reverse (40132433), we get a palindrome (73555537).

It can be divided in two parts, 3342 and 3104, that added together give a palindrome (6446).

The spelling of 33423104 in words is "thirty-three million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 83 88 104 121 128 143 166 176 208 242 256 286 332 352 416 484 572 664 704 832 913 968 1079 1144 1328 1408 1573 1664 1826 1936 2158 2288 2656 2816 3146 3328 3652 3872 4316 4576 5312 6292 7304 7744 8632 9152 10043 10624 11869 12584 14608 15488 17264 18304 20086 21248 23738 25168 29216 30976 34528 36608 40172 47476 50336 58432 69056 80344 94952 100672 116864 130559 138112 160688 189904 201344 233728 261118 276224 321376 379808 402688 522236 642752 759616 1044472 1285504 1519232 2088944 2571008 3038464 4177888 8355776 16711552 33423104