Search a number
-
+
431404002 = 23317469939
BaseRepresentation
bin11001101101101…
…011001111100010
31010001202121001000
4121231223033202
51340414412002
6110450252430
713455605421
oct3155531742
91101677030
10431404002
11201575237
12100587116
136b4b8653
144141b2b8
1527d1861c
hex19b6b3e2

431404002 has 32 divisors (see below), whose sum is σ = 1015070400. Its totient is φ = 135342144.

The previous prime is 431403997. The next prime is 431404013. The reversal of 431404002 is 200404134.

It is a super-2 number, since 2×4314040022 = 372218825883232008, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234052 + ... + 235887.

It is an arithmetic number, because the mean of its divisors is an integer number (31720950).

Almost surely, 2431404002 is an apocalyptic number.

431404002 is an abundant number, since it is smaller than the sum of its proper divisors (583666398).

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

431404002 is a wasteful number, since it uses less digits than its factorization.

431404002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469967 (or 469961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 431404002 is about 20770.2672587524. The cubic root of 431404002 is about 755.6048262259.

Adding to 431404002 its reverse (200404134), we get a palindrome (631808136).

The spelling of 431404002 in words is "four hundred thirty-one million, four hundred four thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 469939 939878 1409817 2819634 4229451 7988963 8458902 12688353 15977926 23966889 25376706 47933778 71900667 143801334 215702001 431404002