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3044142432 = 25333523313
BaseRepresentation
bin1011010101110001…
…1110110101100000
321212011002110101000
42311130132311200
522213300024212
61222022312000
7135302532552
oct26534366540
97764073330
103044142432
1113223802a1
1270b588600
1339689b716
1420c4174d2
1512c3b31dc
hexb571ed60

3044142432 has 48 divisors (see below), whose sum is σ = 8878751280. Its totient is φ = 1014713856.

The previous prime is 3044142377. The next prime is 3044142467. The reversal of 3044142432 is 2342414403.

It is a happy number.

3044142432 is a `hidden beast` number, since 3 + 0 + 4 + 414 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×30441424323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3044142396 and 3044142405.

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, 1760793 + ... + 1762520.

It is an arithmetic number, because the mean of its divisors is an integer number (184973985).

Almost surely, 23044142432 is an apocalyptic number.

3044142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3044142432 is an abundant number, since it is smaller than the sum of its proper divisors (5834608848).

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

3044142432 is a wasteful number, since it uses less digits than its factorization.

3044142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523332 (or 3523318 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3044142432 is about 55173.7476704275. The cubic root of 3044142432 is about 1449.2889787097.

Adding to 3044142432 its reverse (2342414403), we get a palindrome (5386556835).

The spelling of 3044142432 in words is "three billion, forty-four million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3523313 7046626 10569939 14093252 21139878 28186504 31709817 42279756 56373008 63419634 84559512 95129451 112746016 126839268 169119024 190258902 253678536 338238048 380517804 507357072 761035608 1014714144 1522071216 3044142432