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3001406625 = 325372571483
BaseRepresentation
bin1011001011100101…
…1101010010100001
321202011200020212100
42302321131102201
522121330003000
61213454321013
7134243351430
oct26271352241
97664606770
103001406625
111300241248
126b91b9169
1338aa87869
14206891117
15128770a00
hexb2e5d4a1

3001406625 has 96 divisors (see below), whose sum is σ = 6211715328. Its totient is φ = 1365811200.

The previous prime is 3001406609. The next prime is 3001406633. The reversal of 3001406625 is 5266041003.

3001406625 is a `hidden beast` number, since 30 + 0 + 1 + 4 + 0 + 6 + 625 = 666.

3001406625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3001406625 - 24 = 3001406609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2023134 + ... + 2024616.

It is an arithmetic number, because the mean of its divisors is an integer number (64705368).

Almost surely, 23001406625 is an apocalyptic number.

3001406625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3001406625 is an abundant number, since it is smaller than the sum of its proper divisors (3210308703).

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

3001406625 is a wasteful number, since it uses less digits than its factorization.

3001406625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3001406625 is about 54785.0949164095. The cubic root of 3001406625 is about 1442.4749466757.

Adding to 3001406625 its reverse (5266041003), we get a palindrome (8267447628).

The spelling of 3001406625 in words is "three billion, one million, four hundred six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 257 315 375 525 771 875 1125 1285 1483 1575 1799 2313 2625 3855 4449 5397 6425 7415 7875 8995 10381 11565 13347 16191 19275 22245 26985 31143 32125 37075 44975 51905 57825 66735 80955 93429 96375 111225 134925 155715 185375 224875 259525 289125 333675 381131 404775 467145 556125 674625 778575 1143393 1297625 1668375 1905655 2023875 2335725 2667917 3430179 3892875 5716965 8003751 9528275 11678625 13339585 17150895 24011253 28584825 40018755 47641375 66697925 85754475 120056265 142924125 200093775 333489625 428772375 600281325 1000468875 3001406625