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3395534688 = 2533713192273
BaseRepresentation
bin1100101001100011…
…1011111101100000
322202122022000221000
43022120323331200
523423224102223
61320534032000
7150100366020
oct31230737540
98678260830
103395534688
111492766517
127a91a8600
13421621530
14242d67a80
1514d174543
hexca63bf60

3395534688 has 384 divisors, whose sum is σ = 12836275200. Its totient is φ = 848019456.

The previous prime is 3395534633. The next prime is 3395534713. The reversal of 3395534688 is 8864355933.

It is a happy number.

3395534688 is a `hidden beast` number, since 3 + 3 + 9 + 553 + 4 + 6 + 88 = 666.

It is a super-2 number, since 2×33955346882 = 23059311634822514688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 1492720 + ... + 1494992.

It is an arithmetic number, because the mean of its divisors is an integer number (33427800).

Almost surely, 23395534688 is an apocalyptic number.

3395534688 is a gapful number since it is divisible by the number (38) 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 3395534688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418137600).

3395534688 is an abundant number, since it is smaller than the sum of its proper divisors (9440740512).

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

3395534688 is a wasteful number, since it uses less digits than its factorization.

3395534688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2317 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3395534688 is about 58271.2166339437. The cubic root of 3395534688 is about 1503.0360268813.

The spelling of 3395534688 in words is "three billion, three hundred ninety-five million, five hundred thirty-four thousand, six hundred eighty-eight".