Search a number
-
+
3431104440 = 233528592537
BaseRepresentation
bin1100110010000010…
…0111111110111000
322212010020011110020
43030200213332320
524011330320230
61324244250440
7151011622641
oct31440477670
98763204406
103431104440
111500850605
127b90a0a20
13428ac671a
142479866c8
1515134d810
hexcc827fb8

3431104440 has 32 divisors (see below), whose sum is σ = 10293313680. Its totient is φ = 914961152.

The previous prime is 3431104427. The next prime is 3431104519. The reversal of 3431104440 is 444011343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3431104440.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14296149 + ... + 14296388.

Almost surely, 23431104440 is an apocalyptic number.

3431104440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431104440 is an abundant number, since it is smaller than the sum of its proper divisors (6862209240).

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

3431104440 is a wasteful number, since it uses less digits than its factorization.

3431104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28592551 (or 28592547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3431104440 is about 58575.6300862398. The cubic root of 3431104440 is about 1508.2661325805.

Adding to 3431104440 its reverse (444011343), we get a palindrome (3875115783).

The spelling of 3431104440 in words is "three billion, four hundred thirty-one million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28592537 57185074 85777611 114370148 142962685 171555222 228740296 285925370 343110444 428888055 571850740 686220888 857776110 1143701480 1715552220 3431104440