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3304212480 = 211335171937
BaseRepresentation
bin1100010011110010…
…0100100000000000
322112021110101102000
43010330210200000
523231334244410
61303512424000
7144611225352
oct30474444000
98467411360
103304212480
111446161818
127826a8000
1340872881a
14234b950d2
15145135dc0
hexc4f24800

3304212480 has 768 divisors, whose sum is σ = 13444704000. Its totient is φ = 764411904.

The previous prime is 3304212479. The next prime is 3304212481. The reversal of 3304212480 is 842124033.

It is an interprime number because it is at equal distance from previous prime (3304212479) and next prime (3304212481).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×33042124802 = 21835640225975500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3304212481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89303022 + ... + 89303058.

It is an arithmetic number, because the mean of its divisors is an integer number (17506125).

Almost surely, 23304212480 is an apocalyptic number.

3304212480 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 3304212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

3304212480 is an abundant number, since it is smaller than the sum of its proper divisors (10140491520).

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

3304212480 is a wasteful number, since it uses less digits than its factorization.

3304212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3304212480 is about 57482.2797042706. The cubic root of 3304212480 is about 1489.4387748667.

The spelling of 3304212480 in words is "three billion, three hundred four million, two hundred twelve thousand, four hundred eighty".