Search a number
-
+
40332330 = 23451729101
BaseRepresentation
bin1001100111011…
…0110000101010
32210220002120000
42121312300222
540311113310
64000243430
7666550653
oct231666052
983802500
1040332330
1120848305
1211610576
138481bac
1454dc52a
15381a4c0
hex2676c2a

40332330 has 160 divisors (see below), whose sum is σ = 119964240. Its totient is φ = 9676800.

The previous prime is 40332319. The next prime is 40332343. The reversal of 40332330 is 3323304.

40332330 is a `hidden beast` number, since 4 + 0 + 332 + 330 = 666.

40332330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34117281 + 6215049 = 5841^2 + 2493^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399280 + ... + 399380.

Almost surely, 240332330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59982120).

40332330 is an abundant number, since it is smaller than the sum of its proper divisors (79631910).

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

40332330 is a wasteful number, since it uses less digits than its factorization.

40332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 40332330 is about 6350.7739685805. The cubic root of 40332330 is about 342.9397055631.

Adding to 40332330 its reverse (3323304), we get a palindrome (43655634).

The spelling of 40332330 in words is "forty million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 81 85 87 90 101 102 135 145 153 162 170 174 202 255 261 270 290 303 306 405 435 459 493 505 510 522 606 765 783 810 870 909 918 986 1010 1305 1377 1479 1515 1530 1566 1717 1818 2295 2349 2465 2610 2727 2754 2929 2958 3030 3434 3915 4437 4545 4590 4698 4930 5151 5454 5858 6885 7395 7830 8181 8585 8787 8874 9090 10302 11745 13311 13635 13770 14645 14790 15453 16362 17170 17574 22185 23490 25755 26361 26622 27270 29290 30906 39933 40905 43935 44370 46359 49793 51510 52722 66555 77265 79083 79866 81810 87870 92718 99586 131805 133110 139077 149379 154530 158166 199665 231795 237249 248965 263610 278154 298758 395415 399330 448137 463590 474498 497930 695385 746895 790830 896274 1186245 1344411 1390770 1493790 2240685 2372490 2688822 4033233 4481370 6722055 8066466 13444110 20166165 40332330