Search a number
-
+
3164060144 = 24725376147
BaseRepresentation
bin1011110010010111…
…1011100111110000
322011111201220112202
42330211323213300
522434444411034
61241544442332
7141260032100
oct27445734760
98144656482
103164060144
111384036243
127437793a8
133b569704b
14220311200
15137b9e47e
hexbc97b9f0

3164060144 has 60 divisors (see below), whose sum is σ = 7265889864. Its totient is φ = 1330422912.

The previous prime is 3164060129. The next prime is 3164060171. The reversal of 3164060144 is 4410604613.

It is a super-2 number, since 2×31640601442 = 20022553189698601472, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3479 + ... + 79625.

Almost surely, 23164060144 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 3164060144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632944932).

3164060144 is an abundant number, since it is smaller than the sum of its proper divisors (4101829720).

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

3164060144 is a wasteful number, since it uses less digits than its factorization.

3164060144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76222 (or 76209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3164060144 is about 56249.9790577739. The cubic root of 3164060144 is about 1468.0750010559.

Adding to 3164060144 its reverse (4410604613), we get a palindrome (7574664757).

The spelling of 3164060144 in words is "three billion, one hundred sixty-four million, sixty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 76147 152294 304588 533029 609176 1066058 1218352 2132116 3731203 4035791 4264232 7462406 8071582 8528464 14924812 16143164 28250537 29849624 32286328 56501074 59699248 64572656 113002148 197753759 226004296 395507518 452008592 791015036 1582030072 3164060144