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3301892972 = 2272310314973
BaseRepresentation
bin1100010011001110…
…1110001101101100
322112010002112122022
43010303232031230
523230241033342
61303351005312
7144552425060
oct30463561554
98463075568
103301892972
111444918074
12781969838
134080c5b31
1423474daa0
15144d289d2
hexc4cee36c

3301892972 has 48 divisors (see below), whose sum is σ = 6898977792. Its totient is φ = 1351986240.

The previous prime is 3301892917. The next prime is 3301892977. The reversal of 3301892972 is 2792981033.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3301892977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 661478 + ... + 666450.

It is an arithmetic number, because the mean of its divisors is an integer number (143728704).

Almost surely, 23301892972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301892972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449488896).

3301892972 is an abundant number, since it is smaller than the sum of its proper divisors (3597084820).

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

3301892972 is a wasteful number, since it uses less digits than its factorization.

3301892972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 3301892972 is about 57462.1003096824. The cubic root of 3301892972 is about 1489.0901719960.

The spelling of 3301892972 in words is "three billion, three hundred one million, eight hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1031 2062 4124 4973 7217 9946 14434 19892 23713 28868 34811 47426 69622 94852 114379 139244 165991 228758 331982 457516 663964 800653 1601306 3202612 5127163 10254326 20508652 35890141 71780282 117924749 143560564 235849498 471698996 825473243 1650946486 3301892972