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3146940264 = 2331315166797
BaseRepresentation
bin1011101110010010…
…0111111101101000
322010022112010111010
42323210213331220
522421104042024
61240133503520
7140661356646
oct27344477550
98108463433
103146940264
111375402886
12739aa1ba0
133b1c81840
1421bd36196
1513641bb29
hexbb927f68

3146940264 has 64 divisors (see below), whose sum is σ = 8528768640. Its totient is φ = 961862400.

The previous prime is 3146940259. The next prime is 3146940301. The reversal of 3146940264 is 4620496413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13714 + ... + 80510.

It is an arithmetic number, because the mean of its divisors is an integer number (133262010).

Almost surely, 23146940264 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 3146940264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264384320).

3146940264 is an abundant number, since it is smaller than the sum of its proper divisors (5381828376).

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

3146940264 is a wasteful number, since it uses less digits than its factorization.

3146940264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66970 (or 66966 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3146940264 is about 56097.5958843158. The cubic root of 3146940264 is about 1465.4224245935.

The spelling of 3146940264 in words is "three billion, one hundred forty-six million, nine hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 47112 66797 133594 200391 267188 400782 534376 801564 868361 1603128 1736722 2605083 3473444 5210166 6946888 10086347 10420332 20172694 20840664 30259041 40345388 60518082 80690776 121036164 131122511 242072328 262245022 393367533 524490044 786735066 1048980088 1573470132 3146940264