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3025249344 = 263313137983
BaseRepresentation
bin1011010001010001…
…1010010001000000
321210211112120221000
42310110122101000
522143430434334
61220105332000
7134653123635
oct26424322100
97724476830
103025249344
111312746677
12705197000
133929b5090
14209ada18c
1512a8d0299
hexb451a440

3025249344 has 224 divisors, whose sum is σ = 9657527040. Its totient is φ = 923111424.

The previous prime is 3025249303. The next prime is 3025249349. The reversal of 3025249344 is 4439425203.

3025249344 is a `hidden beast` number, since 3 + 0 + 2 + 524 + 93 + 44 = 666.

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 = 3025249299 and 3025249308.

It is not an unprimeable number, because it can be changed into a prime (3025249349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3077077 + ... + 3078059.

It is an arithmetic number, because the mean of its divisors is an integer number (43113960).

Almost surely, 23025249344 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 3025249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828763520).

3025249344 is an abundant number, since it is smaller than the sum of its proper divisors (6632277696).

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

3025249344 is a wasteful number, since it uses less digits than its factorization.

3025249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3025249344 is about 55002.2667169272. The cubic root of 3025249344 is about 1446.2844776983.

The spelling of 3025249344 in words is "three billion, twenty-five million, two hundred forty-nine thousand, three hundred forty-four".