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3399802848 = 2533131989179
BaseRepresentation
bin1100101010100100…
…1101111111100000
322202221022212202000
43022221031333200
523430322142343
61321205324000
7150151563441
oct31251157740
98687285660
103399802848
111495111222
127aa706600
13422487180
142437592c8
1514d718ed3
hexcaa4dfe0

3399802848 has 384 divisors, whose sum is σ = 11430720000. Its totient is φ = 974426112.

The previous prime is 3399802811. The next prime is 3399802859. The reversal of 3399802848 is 8482089933.

It is a happy number.

It is a super-2 number, since 2×33998028482 = 23117318810537822208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3399802794 and 3399802803.

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, 18993223 + ... + 18993401.

It is an arithmetic number, because the mean of its divisors is an integer number (29767500).

Almost surely, 23399802848 is an apocalyptic number.

3399802848 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 3399802848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360000).

3399802848 is an abundant number, since it is smaller than the sum of its proper divisors (8030917152).

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

3399802848 is a wasteful number, since it uses less digits than its factorization.

3399802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3399802848 is about 58307.8283594922. The cubic root of 3399802848 is about 1503.6655312905.

The spelling of 3399802848 in words is "three billion, three hundred ninety-nine million, eight hundred two thousand, eight hundred forty-eight".