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3360625680 = 2435233141479
BaseRepresentation
bin1100100001001111…
…0001010000010000
322200012121110202210
43020103301100100
523340310010210
61313245512120
7146164563336
oct31023612020
98605543683
103360625680
111474a928a5
12799572640
1341731b009
1423c47bb56
1514a07ae20
hexc84f1410

3360625680 has 320 divisors, whose sum is σ = 11519262720. Its totient is φ = 807628800.

The previous prime is 3360625679. The next prime is 3360625691. The reversal of 3360625680 is 865260633.

It is a happy number.

It is a super-2 number, since 2×33606256802 = 22587609922150924800, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7015681 + ... + 7016159.

It is an arithmetic number, because the mean of its divisors is an integer number (35997696).

Almost surely, 23360625680 is an apocalyptic number.

3360625680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759631360).

3360625680 is an abundant number, since it is smaller than the sum of its proper divisors (8158637040).

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

3360625680 is a wasteful number, since it uses less digits than its factorization.

3360625680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3360625680 is about 57970.9037362710. The cubic root of 3360625680 is about 1497.8674406751.

The spelling of 3360625680 in words is "three billion, three hundred sixty million, six hundred twenty-five thousand, six hundred eighty".