Search a number
-
+
435242240 = 2853371009
BaseRepresentation
bin11001111100010…
…100010100000000
31010022222121002222
4121330110110000
51342410222430
6111104430212
713533332546
oct3174242400
91108877088
10435242240
11203756a34
12101918368
136c2306b4
1441b39d96
15283259e5
hex19f14500

435242240 has 72 divisors (see below), whose sum is σ = 1046671080. Its totient is φ = 173408256.

The previous prime is 435242239. The next prime is 435242273. The reversal of 435242240 is 42242534.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 430645504 = 2144^2 + 20752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430856 + ... + 431864.

Almost surely, 2435242240 is an apocalyptic number.

435242240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523335540).

435242240 is an abundant number, since it is smaller than the sum of its proper divisors (611428840).

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

435242240 is a wasteful number, since it uses less digits than its factorization.

435242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 435242240 is about 20862.4600658695. The cubic root of 435242240 is about 757.8391064864.

Adding to 435242240 its reverse (42242534), we get a palindrome (477484774).

The spelling of 435242240 in words is "four hundred thirty-five million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 337 640 674 1009 1280 1348 1685 2018 2696 3370 4036 5045 5392 6740 8072 10090 10784 13480 16144 20180 21568 26960 32288 40360 43136 53920 64576 80720 86272 107840 129152 161440 215680 258304 322880 340033 431360 645760 680066 1291520 1360132 1700165 2720264 3400330 5440528 6800660 10881056 13601320 21762112 27202640 43524224 54405280 87048448 108810560 217621120 435242240