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3102466016 = 251331323827
BaseRepresentation
bin1011100011101011…
…1101111111100000
322000012211121021202
42320322331333200
522323212403031
61231504340332
7136611345266
oct27072757740
98005747252
103102466016
111352296701
127270146a8
133a59ac610
1421607a436
151325842cb
hexb8ebdfe0

3102466016 has 48 divisors (see below), whose sum is σ = 6599116944. Its totient is φ = 1427272704.

The previous prime is 3102466013. The next prime is 3102466027. The reversal of 3102466016 is 6106642013.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3102466016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102466013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118295 + ... + 142121.

It is an arithmetic number, because the mean of its divisors is an integer number (137481603).

Almost surely, 23102466016 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 3102466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299558472).

3102466016 is an abundant number, since it is smaller than the sum of its proper divisors (3496650928).

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

3102466016 is a wasteful number, since it uses less digits than its factorization.

3102466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3102466016 is about 55699.7847033541. The cubic root of 3102466016 is about 1458.4862674669.

The spelling of 3102466016 in words is "three billion, one hundred two million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 313 416 626 1252 2504 4069 5008 8138 10016 16276 23827 32552 47654 65104 95308 130208 190616 309751 381232 619502 762464 1239004 2478008 4956016 7457851 9912032 14915702 29831404 59662808 96952063 119325616 193904126 238651232 387808252 775616504 1551233008 3102466016