Search a number
-
+
3212043444 = 22331716310733
BaseRepresentation
bin1011111101110011…
…1110010010110100
322021212000201021000
42333130332102310
523034240342234
61250421123300
7142411630101
oct27734762264
98255021230
103212043444
1113a9129865
12757859530
133c25c752c
14226841aa8
1513becb899
hexbf73e4b4

3212043444 has 96 divisors (see below), whose sum is σ = 8872295040. Its totient is φ = 1001424384.

The previous prime is 3212043437. The next prime is 3212043467. The reversal of 3212043444 is 4443402123.

It is a happy number.

3212043444 is a `hidden beast` number, since 3 + 212 + 0 + 4 + 3 + 444 = 666.

It is a super-2 number, since 2×32120434442 = 20634446172286762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293902 + ... + 304634.

It is an arithmetic number, because the mean of its divisors is an integer number (92419740).

Almost surely, 23212043444 is an apocalyptic number.

3212043444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436147520).

3212043444 is an abundant number, since it is smaller than the sum of its proper divisors (5660251596).

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

3212043444 is a wasteful number, since it uses less digits than its factorization.

3212043444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3212043444 is about 56674.8925362898. The cubic root of 3212043444 is about 1475.4589695319.

Adding to 3212043444 its reverse (4443402123), we get a palindrome (7655445567).

The spelling of 3212043444 in words is "three billion, two hundred twelve million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 163 204 306 326 459 489 612 652 918 978 1467 1836 1956 2771 2934 4401 5542 5868 8313 8802 10733 11084 16626 17604 21466 24939 32199 33252 42932 49878 64398 74817 96597 99756 128796 149634 182461 193194 289791 299268 364922 386388 547383 579582 729844 1094766 1159164 1642149 1749479 2189532 3284298 3498958 4926447 5248437 6568596 6997916 9852894 10496874 15745311 19705788 20993748 29741143 31490622 47235933 59482286 62981244 89223429 94471866 118964572 178446858 188943732 267670287 356893716 535340574 803010861 1070681148 1606021722 3212043444