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3323473920 = 212325131973
BaseRepresentation
bin1100011000011000…
…0011000000000000
322120121200222010200
43012012003000000
523301302131140
61305441325200
7145234030224
oct30606030000
98517628120
103323473920
111456018168
12789036800
1340c710a20
1423756a784
15146b8d030
hexc6183000

3323473920 has 624 divisors, whose sum is σ = 13237966560. Its totient is φ = 764411904.

The previous prime is 3323473891. The next prime is 3323473927. The reversal of 3323473920 is 293743233.

It is a happy number.

3323473920 is a `hidden beast` number, since 33 + 234 + 7 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×33234739202 = 22090957793840332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3323473927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45527004 + ... + 45527076.

It is an arithmetic number, because the mean of its divisors is an integer number (21214690).

Almost surely, 23323473920 is an apocalyptic number.

3323473920 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 3323473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618983280).

3323473920 is an abundant number, since it is smaller than the sum of its proper divisors (9914492640).

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

3323473920 is a wasteful number, since it uses less digits than its factorization.

3323473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3323473920 is about 57649.5786628142. The cubic root of 3323473920 is about 1492.3273269761.

The spelling of 3323473920 in words is "three billion, three hundred twenty-three million, four hundred seventy-three thousand, nine hundred twenty".