Search a number
-
+
33240040 = 2356779157
BaseRepresentation
bin111111011001…
…1001111101000
32022112202202121
41332303033220
532002140130
63144241024
7552351511
oct176631750
968482677
1033240040
1117843809
12b170174
136b6a982
1445b3a08
152db8d7a
hex1fb33e8

33240040 has 64 divisors (see below), whose sum is σ = 77356800. Its totient is φ = 12849408.

The previous prime is 33240019. The next prime is 33240041. The reversal of 33240040 is 4004233.

It is a super-2 number, since 2×332400402 = 2209800518403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33239996 and 33240023.

It is not an unprimeable number, because it can be changed into a prime (33240041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211642 + ... + 211798.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 233240040 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 33240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38678400).

33240040 is an abundant number, since it is smaller than the sum of its proper divisors (44116760).

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

33240040 is a wasteful number, since it uses less digits than its factorization.

33240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33240040 is about 5765.4175911204. The cubic root of 33240040 is about 321.5292685796.

Adding to 33240040 its reverse (4004233), we get a palindrome (37244273).

The spelling of 33240040 in words is "thirty-three million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 79 134 157 158 268 314 316 335 395 536 628 632 670 785 790 1256 1340 1570 1580 2680 3140 3160 5293 6280 10519 10586 12403 21038 21172 24806 26465 42076 42344 49612 52595 52930 62015 84152 99224 105190 105860 124030 210380 211720 248060 420760 496120 831001 1662002 3324004 4155005 6648008 8310010 16620020 33240040