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3304002240 = 2632571147317
BaseRepresentation
bin1100010011101111…
…0001001011000000
322112021001201000100
43010323301023000
523231311032430
61303504122400
7144606361410
oct30473611300
98467051010
103304002240
111446028870
12782606400
13408683c16
14234b3c640
151450e3960
hexc4ef12c0

3304002240 has 672 divisors, whose sum is σ = 14515697664. Its totient is φ = 669818880.

The previous prime is 3304002197. The next prime is 3304002259. The reversal of 3304002240 is 422004033.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10422562 + ... + 10422878.

Almost surely, 23304002240 is an apocalyptic number.

3304002240 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 3304002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257848832).

3304002240 is an abundant number, since it is smaller than the sum of its proper divisors (11211695424).

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

3304002240 is a wasteful number, since it uses less digits than its factorization.

3304002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3304002240 is about 57480.4509376884. The cubic root of 3304002240 is about 1489.4071842581.

Adding to 3304002240 its reverse (422004033), we get a palindrome (3726006273).

The spelling of 3304002240 in words is "three billion, three hundred four million, two thousand, two hundred forty".