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3039241644 = 2232298593389
BaseRepresentation
bin1011010100100111…
…0010010110101100
321211210212110202100
42311021302112230
522211021213034
61221325255100
7135213061545
oct26511622654
97753773670
103039241644
11131a63325a
12709a04490
13395873b4a
1420b8dd4cc
1512bc46099
hexb52725ac

3039241644 has 72 divisors (see below), whose sum is σ = 7959042000. Its totient is φ = 976719744.

The previous prime is 3039241637. The next prime is 3039241649. The reversal of 3039241644 is 4461429303.

It is a happy number.

3039241644 is a `hidden beast` number, since 3 + 0 + 3 + 9 + 2 + 4 + 1 + 644 = 666.

3039241644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3039241599 and 3039241608.

It is not an unprimeable number, because it can be changed into a prime (3039241649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895102 + ... + 898490.

It is an arithmetic number, because the mean of its divisors is an integer number (110542250).

Almost surely, 23039241644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3039241644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979521000).

3039241644 is an abundant number, since it is smaller than the sum of its proper divisors (4919800356).

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

3039241644 is a wasteful number, since it uses less digits than its factorization.

3039241644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3039241644 is about 55129.3174635783. The cubic root of 3039241644 is about 1448.5108205313.

The spelling of 3039241644 in words is "three billion, thirty-nine million, two hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 859 1044 1718 2577 3389 3436 5154 6778 7731 10167 10308 13556 15462 20334 24911 30501 30924 40668 49822 61002 74733 98281 99644 122004 149466 196562 224199 294843 298932 393124 448398 589686 884529 896796 1179372 1769058 2911151 3538116 5822302 8733453 11644604 17466906 26200359 34933812 52400718 84423379 104801436 168846758 253270137 337693516 506540274 759810411 1013080548 1519620822 3039241644