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3213344112 = 243119296551
BaseRepresentation
bin1011111110000111…
…1011110101110000
322021221110210102220
42333201323311300
523040104002422
61250505041040
7142425655116
oct27741736560
98257423386
103213344112
1113a9937aa0
12758186180
133c2961564
14226a9dab6
1513c186e5c
hexbf87bd70

3213344112 has 80 divisors (see below), whose sum is σ = 9066919680. Its totient is φ = 972544000.

The previous prime is 3213344111. The next prime is 3213344117. The reversal of 3213344112 is 2114433123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213344111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487237 + ... + 493787.

It is an arithmetic number, because the mean of its divisors is an integer number (113336496).

Almost surely, 23213344112 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 3213344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

3213344112 is an abundant number, since it is smaller than the sum of its proper divisors (5853575568).

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

3213344112 is a wasteful number, since it uses less digits than its factorization.

3213344112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7496 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3213344112 is about 56686.3661915279. The cubic root of 3213344112 is about 1475.6580975247.

Adding to 3213344112 its reverse (2114433123), we get a palindrome (5327777235).

It can be divided in two parts, 32133 and 44112, that added together give a triangular number (76245 = T390).

The spelling of 3213344112 in words is "three billion, two hundred thirteen million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 929 1858 2787 3716 5574 6551 7432 10219 11148 13102 14864 19653 20438 22296 26204 30657 39306 40876 44592 52408 61314 72061 78612 81752 104816 122628 144122 157224 163504 216183 245256 288244 314448 432366 490512 576488 864732 1152976 1729464 3458928 6085879 12171758 18257637 24343516 36515274 48687032 66944669 73030548 97374064 133889338 146061096 200834007 267778676 292122192 401668014 535557352 803336028 1071114704 1606672056 3213344112