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3064213000 = 235361191263
BaseRepresentation
bin1011011010100100…
…0010111000001000
321220112212011000101
42312221002320020
522233414304000
61224020415144
7135635244412
oct26651027010
97815764011
103064213000
111332739642
127162474b4
1339aaa7cb4
14210d5d9b2
1512e029e6a
hexb6a42e08

3064213000 has 128 divisors (see below), whose sum is σ = 7353815040. Its totient is φ = 1194720000.

The previous prime is 3064212953. The next prime is 3064213001. The reversal of 3064213000 is 3124603.

It is not an unprimeable number, because it can be changed into a prime (3064213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11650869 + ... + 11651131.

It is an arithmetic number, because the mean of its divisors is an integer number (57451680).

Almost surely, 23064213000 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 3064213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

3064213000 is an abundant number, since it is smaller than the sum of its proper divisors (4289602040).

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

3064213000 is a wasteful number, since it uses less digits than its factorization.

3064213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3064213000 is about 55355.3339796627. Note that the first 3 decimals coincide. The cubic root of 3064213000 is about 1452.4671434668.

Adding to 3064213000 its reverse (3124603), we get a palindrome (3067337603).

The spelling of 3064213000 in words is "three billion, sixty-four million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 191 200 244 250 263 305 382 488 500 526 610 764 955 1000 1052 1220 1315 1525 1528 1910 2104 2440 2630 3050 3820 4775 5260 6100 6575 7625 7640 9550 10520 11651 12200 13150 15250 16043 19100 23302 23875 26300 30500 32086 32875 38200 46604 47750 50233 52600 58255 61000 64172 65750 80215 93208 95500 100466 116510 128344 131500 160430 191000 200932 233020 251165 263000 291275 320860 401075 401864 466040 502330 582550 641720 802150 1004660 1165100 1255825 1456375 1604300 2005375 2009320 2330200 2511650 2912750 3064213 3208600 4010750 5023300 5825500 6128426 6279125 8021500 10046600 11651000 12256852 12558250 15321065 16043000 24513704 25116500 30642130 50233000 61284260 76605325 122568520 153210650 306421300 383026625 612842600 766053250 1532106500 3064213000